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Bulletin of the American Mathematical Society

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Abraham Adrian Albert 1905-1972


Author: Nathan Jacobson
Journal: Bull. Amer. Math. Soc. 80 (1974), 1075-1100
DOI: https://doi.org/10.1090/S0002-9904-1974-13622-0
MathSciNet review: 0342341
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  • 1. Abraham Adrian Albert, Modern Higher Algebra, Univ. of Chicago Press, Chicago, Ill., 1937.
  • 2. Abraham Adrian Albert, Structure of Algebras, Amer. Math. Soc. Colloq. Publ., vol. 24, Amer. Math. Soc. Providence, R.I., 1939. MR 1, 99. MR 123587
  • 3. Abraham Adrian Albert, Introduction to Algebraic Theories, Univ. of Chicago Press, Chicago, Ill., 1941. MR 2, 241. MR 3590
  • 4. Abraham Adrian Albert, College Algebra, McGraw-Hill, New York, 1946; reprinted by Univ. of Chicago Press, Chicago, Ill., 1963.
  • 5. Abraham Adrian Albert, Solid Analytic Geometry, McGraw-Hill, New York, 1949.
  • 6. Abraham Adrian Albert, Fundamental concepts of higher algebra, Univ. of Chicago Press, Chicago, Ill., 1958. MR 20 #5190. MR 98735
  • 7. Abraham Adrian Albert, (with Reuben Sandler), An Introduction to Finite Projective Planes, Holt, Rinehart and Winston, New York, 1968. MR 37 #3435. MR 227851
  • 8. Abraham Adrian Albert, editor, Studies in Modern Algebra, Studies in Math., vol. 2, Math. Assoc, of Amer., distributed by Prentice-Hall, Englewood Cliffs, N.J., 1963. MR 26 #3750. MR 146228
  • 9. Abraham Adrian Albert, A determination of all associative algebras in two, three and four units over a nonmodular field F, M.S. Thesis, University of Chicago, Chicago, Ill., 1927.
  • 10. Abraham Adrian Albert, Algebras and their radicals, and division algebras, Ph.D. Dissertation, University of Chicago, Chicago, Ill., 1928.
  • 11. A. Adrian Albert, A determination of all normal division algebras in sixteen units, Trans. Amer. Math. Soc. 31 (1929), no. 2, 253–260. MR 1501481, https://doi.org/10.1090/S0002-9947-1929-1501481-4
  • 12. Abraham Adrian Albert, On the rank equation of any normal division algebra, Bull. Amer. Math. Soc. 35 (1929), 335-338.
  • 13. Abraham Adrian Albert, The rank function of any simple algebra, Proc. Nat. Acad. Sci. U.S.A. 15 (1929), 372-376.
  • 14. Abraham Adrian Albert, On the structure of normal division algebras, Ann. of Math. 30 (1929), 322-338.
  • 15. Abraham Adrian Albert, Normal division algebras in 4p2 units, p an odd prime, Ann. of Math. 30 (1929), 583-590.
  • 16. Abraham Adrian Albert, The structure of an algebra which is a direct product of rational generalized quaternion division algebras, Ann. of Math. 30 (1929), 621-625.
  • 17. Abraham Adrian Albert, On the structure of pure Riemann matrices with non-commutative multiplication algebras, Proc. Nat. Acad. Sci. U.S.A. 16 (1930), 308-312.
  • 18. Abraham Adrian Albert, On direct products, cyclic division algebras, and pure Riemann matrices, Proc. Nat. Acad. Sci. U.S.A. 16 (1930), 313-315.
  • 19. A. Adrian Albert, The non-existence of pure Riemann matrices with normal multiplication algebras of order sixteen, Ann. of Math. (2) 31 (1930), no. 3, 375–380. MR 1502951, https://doi.org/10.2307/1968233
  • 20. Abraham Adrian Albert, A necessary and sufficient condition for the non-equivalence of any two rational generalized quaternion division algebras, Bull. Amer. Math. Soc. 36 (1930), 535-540.
  • 21. A. Adrian Albert, Determination of All Normal Division Algebras in Thirty-Six Units of Type R₂, Amer. J. Math. 52 (1930), no. 2, 283–292. MR 1507918, https://doi.org/10.2307/2370683
  • 22. Abraham Adrian Albert, A note on an important theorem on normal division algebras, Bull. Amer. Math. Soc. 36 (1930), 649-650.
  • 23. A. Adrian Albert, New results in the theory of normal division algebras, Trans. Amer. Math. Soc. 32 (1930), no. 2, 171–195. MR 1501532, https://doi.org/10.1090/S0002-9947-1930-1501532-5
  • 24. A. Adrian Albert, The integers of normal quartic fields, Ann. of Math. (2) 31 (1930), no. 3, 381–418. MR 1502952, https://doi.org/10.2307/1968234
  • 25. A. Adrian Albert, A determination of the integers of all cubic fields, Ann. of Math. (2) 31 (1930), no. 4, 550–566. MR 1502961, https://doi.org/10.2307/1968153
  • 26. A. Adrian Albert, A construction of all non-commutative rational division algebras of order eight, Ann. of Math. (2) 31 (1930), no. 4, 567–576. MR 1502962, https://doi.org/10.2307/1968154
  • 27. Abraham Adrian Albert, Normal division algebras of order 22m, Proc. Nat. Acad. Sci. U.S.A. 17 (1931), 389-392.
  • 28. Abraham Adrian Albert, The structure of pure Riemann matrices with noncommutative multiplication algebras, Palermo Rendiconti 55 (1931), 57-115.
  • 29. A. Adrian Albert, On direct products, cyclic division algebras, and pure Riemann matrices, Trans. Amer. Math. Soc. 33 (1931), no. 1, 219–234. MR 1501586, https://doi.org/10.1090/S0002-9947-1931-1501586-7
  • 30. A. Adrian Albert, On normal division algebras of type 𝑅 in thirty-six units, Trans. Amer. Math. Soc. 33 (1931), no. 1, 235–243. MR 1501587, https://doi.org/10.1090/S0002-9947-1931-1501587-9
  • 31. Abraham Adrian Albert, On the Wedderburn norm condition for cyclic algebras, Bull. Amer. Math. Soc. 37 (1931), 301-312.
  • 32. Abraham Adrian Albert, A note on cyclic algebras of order 16, Bull. Amer. Math. Soc. 37 (1931), 727-730.
  • 33. A. Adrian Albert, On direct products, Trans. Amer. Math. Soc. 33 (1931), no. 3, 690–711. MR 1501610, https://doi.org/10.1090/S0002-9947-1931-1501610-1
  • 34. Abraham Adrian Albert, Division algebras over an algebraic field, Bull. Amer. Math. Soc. 37 (1931), 777-784.
  • 35. A. Adrian Albert, The structure of matrices with any normal division algebra of multiplications, Ann. of Math. (2) 32 (1931), no. 1, 131–148. MR 1502987, https://doi.org/10.2307/1968420
  • 36. A. Adrian Albert, On the Construction of Cyclic Algebras with a Given Exponent, Amer. J. Math. 54 (1932), no. 1, 1–13. MR 1506868, https://doi.org/10.2307/2371072
  • 37. A. Adrian Albert, Algebras of degree 2^{𝑒} and pure Riemann matrices, Ann. of Math. (2) 33 (1932), no. 2, 311–318. MR 1503054, https://doi.org/10.2307/1968332
  • 38. Abraham Adrian Albert, A construction of non-cyclic normal division algebras, Bull. Amer. Math. Soc. 38 (1932), 449-456.
  • 39. A. Adrian Albert, Normal division algebras of degree four over an algebraic field, Trans. Amer. Math. Soc. 34 (1932), no. 2, 363–372. MR 1501642, https://doi.org/10.1090/S0002-9947-1932-1501642-4
  • 40. A. Adrian Albert, On normal simple algebras, Trans. Amer. Math. Soc. 34 (1932), no. 3, 620–625. MR 1501653, https://doi.org/10.1090/S0002-9947-1932-1501653-9
  • 41. Abraham Adrian Albert, A note on division algebras of order sixteen, Bull. Amer. Math. Soc. 38 (1932), 703-706.
  • 42. A. Adrian Albert and Helmut Hasse, A determination of all normal division algebras over an algebraic number field, Trans. Amer. Math. Soc. 34 (1932), no. 3, 722–726. MR 1501659, https://doi.org/10.1090/S0002-9947-1932-1501659-X
  • 43. Abraham Adrian Albert, A note on the equivalence of algebras of degree two, Bull. Amer. Math. Soc. 39 (1933), 257-258.
  • 44. Abraham Adrian Albert, On primary normal division algebras of degree eight, Bull. Amer. Math. Soc. 39 (1933), 265-272.
  • 45. A. Adrian Albert, Non-cyclic algebras of degree and exponent four, Trans. Amer. Math. Soc. 35 (1933), no. 1, 112–121. MR 1501674, https://doi.org/10.1090/S0002-9947-1933-1501674-7
  • 46. A. Adrian Albert, The Integers Represented by Sets of Ternary Quadratic Forms, Amer. J. Math. 55 (1933), no. 1-4, 274–292. MR 1506964, https://doi.org/10.2307/2371130
  • 47. A. Adrian Albert, On universal sets of positive ternary quadratic forms, Ann. of Math. (2) 34 (1933), no. 4, 875–878. MR 1503139, https://doi.org/10.2307/1968705
  • 48. Abraham Adrian Albert, A note on the Dickson theorem on universal ternaries, Bull. Amer. Math. Soc. 39 (1933), 585-588.
  • 49. Abraham Adrian Albert, Normal division algebras over algebraic number fields not of finite degree, Bull. Amer. Math. Soc. 39 (1933), 746-749.
  • 50. A. Adrian Albert, Cyclic fields of degree eight, Trans. Amer. Math. Soc. 35 (1933), no. 4, 949–964. MR 1501727, https://doi.org/10.1090/S0002-9947-1933-1501727-3
  • 51. A. Adrian Albert, On the construction of Riemann matrices. I, Ann. of Math. (2) 35 (1934), no. 1, 1–28. MR 1503140, https://doi.org/10.2307/1968116
  • 52. A. Adrian Albert, On a certain algebra of quantum mechanics, Ann. of Math. (2) 35 (1934), no. 1, 65–73. MR 1503142, https://doi.org/10.2307/1968118
  • 53. Abraham Adrian Albert, Normal division algebras of degree 4 over F of characteristic 2, Amer. J. Math. 56 (1934), 75-86.
  • 54. Abraham Adrian Albert, Integral domains of rational generalized quaternion algebras, Bull. Amer. Soc. 40 (1934), 164-176.
  • 55. A. Adrian Albert, On certain imprimitive fields of degree 𝑝² over 𝑃 of characteristic 𝑝, Ann. of Math. (2) 35 (1934), no. 2, 211–219. MR 1503156, https://doi.org/10.2307/1968426
  • 56. A. Adrian Albert, Normal division algebras over a modular field, Trans. Amer. Math. Soc. 36 (1934), no. 2, 388–394. MR 1501750, https://doi.org/10.1090/S0002-9947-1934-1501750-X
  • 57. A. Adrian Albert, A solution of the principal problem in the theory of Riemann matrices, Ann. of Math. (2) 35 (1934), no. 3, 500–515. MR 1503176, https://doi.org/10.2307/1968747
  • 58. Abraham Adrian Albert, Cyclic fields of degree p, Bull. Amer. Math. Soc. 40 (1934), 625-631.
  • 59. A. Adrian Albert, On normal Kummer fields over a non-modular field, Trans. Amer. Math. Soc. 36 (1934), no. 4, 885–892. MR 1501774, https://doi.org/10.1090/S0002-9947-1934-1501774-2
  • 60. Abraham Adrian Albert, Involutorial simple algebras and real Riemann matrices, Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 676-681.
  • 61. Abraham Adrian Albert, The principal matrices of a Riemann matrix, Bull. Amer. Math. Soc. 40 (1934), 843-846.
  • 62. A. Adrian Albert, A note on the Poincaré theorem on impure Riemann matrices, Ann. of Math. (2) 36 (1935), no. 1, 151–156. MR 1503214, https://doi.org/10.2307/1968670
  • 63. A. Adrian Albert, On the construction of Riemann matrices. II, Ann. of Math. (2) 36 (1935), no. 2, 376–394. MR 1503230, https://doi.org/10.2307/1968578
  • 64. A. Adrian Albert, On cyclic fields, Trans. Amer. Math. Soc. 37 (1935), no. 3, 454–462. MR 1501797, https://doi.org/10.1090/S0002-9947-1935-1501797-4
  • 65. A. Adrian Albert, Involutorial simple algebras and real Riemann matrices, Ann. of Math. (2) 36 (1935), no. 4, 886–964. MR 1503260, https://doi.org/10.2307/1968595
  • 66. A. Adrian Albert, Normal division algebras of degree 𝑝^{𝑒} over 𝐹 of characteristic 𝑝, Trans. Amer. Math. Soc. 39 (1936), no. 1, 183–188. MR 1501840, https://doi.org/10.1090/S0002-9947-1936-1501840-3
  • 67. A. Adrian Albert, Simple algebras of degree 𝑝^{𝑒} over a centrum of characteristic 𝑝, Trans. Amer. Math. Soc. 40 (1936), no. 1, 112–126. MR 1501866, https://doi.org/10.1090/S0002-9947-1936-1501866-X
  • 68. Irving Kaplansky, Abraham Adrian Albert. November 9, 1905–June 6, 1972, A century of mathematics in America, Part I, Hist. Math., vol. 1, Amer. Math. Soc., Providence, RI, 1988, pp. 244–264. MR 1003173
  • 69. Abraham Adrian Albert, p-algebras over a field generated by one indeterminate, Bull. Amer. Math. Soc. 43 (1937), 733-736.
  • 70. A. Adrian Albert, Normalized integral bases of algebraic number fields. I, Ann. of Math. (2) 38 (1937), no. 4, 923–957. MR 1503382, https://doi.org/10.2307/1968847
  • 71. Abraham Adrian Albert, A quadratic form problem in the calculus of variations, Bull. Amer. Math. Soc. 44 (1938), 250-253.
  • 72. Abraham Adrian Albert, Non-cyclic algebras with pure maximal subfields, Bull. Amer. Math Soc. 44 (1938), 576-579.
  • 73. A. Adrian Albert, Symmetric and alternate matrices in an arbitrary field. I, Trans. Amer. Math. Soc. 43 (1938), no. 3, 386–436. MR 1501952, https://doi.org/10.1090/S0002-9947-1938-1501952-6
  • 74. A. Adrian Albert, Quadratic null forms over a function field, Ann. of Math. (2) 39 (1938), no. 2, 494–505. MR 1503420, https://doi.org/10.2307/1968799
  • 75. A. Adrian Albert, On cyclic algebras, Ann. of Math. (2) 39 (1938), no. 3, 669–682. MR 1503431, https://doi.org/10.2307/1968641
  • 76. Abraham Adrian Albert, A note on normal division algebras of prime degree, Bull. Amer. Math. Soc. 44 (1938), 649-652.
  • 77. Abraham Adrian Albert, On ordered algebras, Bull. Amer. Math. Soc. 46 (1940), 521-522. MR 1, 328. MR 1972
  • 78. Abraham Adrian Albert, On p-adic fields and rational division algebras, Ann. of Math. (2) 41 (1940), 674-693. MR 2, 123. MR 2861
  • 79. Abraham Adrian Albert, A rule for computing the inverse of a matrix, Amer. Math. Monthly 48 (1941), 198-199. MR 2, 243. MR 3603
  • 80. Abraham Adrian Albert, Division algebras over a function field, Duke Math. J. 8 (1941), 750-762. MR 3, 265. MR 6168
  • 81. Abraham Adrian Albert, Quadratic forms permitting composition, Ann. of Math. (2) 43 (1942), 161-177. MR 3, 261. MR 6140
  • 82. Abraham Adrian Albert, Non-associative algebras. I. Fundamental concepts and isotopy, Ann. of Math. (2) 43 (1942), 685-707. MR 4, 186. MR 7747
  • 83. Abraham Adrian Albert, Non-associative algebras. II. New simple algebras, Ann. of Math. (2) 43 (1942), 708-723. MR 4, 186. MR 7748
  • 84. Abraham Adrian Albert, The radical of a non-associative algebra, Bull. Amer. Math. Soc. 48 (1942), 891-897. MR 4, 130. MR 7396
  • 85. Abraham Adrian Albert, An inductive proof of Descartes' rule of signs, Amer. Math. Monthly 50 (1943), 178-180. MR 4, 195. MR 7806
  • 86. A. A. Albert, Discussions and Notes: A Suggestion for a Simplified Trigonometry, Amer. Math. Monthly 50 (1943), no. 4, 251–253. MR 1525668, https://doi.org/10.2307/2303930
  • 87. Abraham Adrian Albert, Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), 507-519. MR 5, 229. MR 9962
  • 88. Abraham Adrian Albert, Algebras derived by non-associative matrix multiplication, Amer. J. Math. 66 1944), 30-40. MR 5, 227. MR 9949
  • 89. Abraham Adrian Albert, The matrices of factor analysis, Proc. Nat. Acad. Sci. U.S.A. 30 (1944), 90-95 MR 5, 209. MR 9829
  • 90. Abraham Adrian Albert, The minimum rank of a correlation matrix, Proc. Nat. Acad. Sci. U.S.A. 30 (1944), 144-146. MR 6, 6. MR 10351
  • 91. Abraham Adrian Albert, Quasigroups. II, Trans. Amer. Math. Soc. 55 (1944), 401-419. MR 6, 42. MR 10597
  • 92. Abraham Adrian Albert, Two element generation of a separable algebra, Bull. Amer. Math. Soc. 50 (1944), 786-788. MR 6, 115. MR 11080
  • 93. Abraham Adrian Albert, Quasiquaternion algebras, Ann. of Math. (2) 45 (1944), 623-638. MR 6, 115.
  • 94. Abraham Adrian Albert, On Jordan algebras of linear transformations, Trans. Amer. Math. Soc. 59 (1946), 524-555. MR 8, 63. MR 16759
  • 95. Abraham Adrian Albert, The Wedderburn principal theorem for Jordan algebras, Ann. of Math. (2) 48 (1947), 1-7. MR 8, 435. MR 19601
  • 96. Abraham Adrian Albert, Absolute valued real algebras, Ann. of Math. (2) 48 (1947), 495-501; Correction in Bull. Amer. Math. Soc. 55 (1949), 1191. MR 8, 561; 11, 76. MR 20550
  • 97. Abraham Adrian Albert, A structure theory for Jordan algebras, Ann of Math (2) 48 (1947), 546-567. MR 9, 77. MR 21546
  • 98. Abraham Adrian Albert, On the power-associativity of rings, Summa Brasil. Math. 2 (1948), no. 2, 21-33. MR 10, 97. MR 26044
  • 99. Abraham Adrian Albert, Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552-593. MR 10, 349. MR 27750
  • 100. Abraham Adrian Albert, On right alternative algebras, Ann. of Math. (2) 50 (1949), 318-328. MR 10, 503. MR 28828
  • 101. Abraham Adrian Albert, Absolute-valued algebraic algebras, Bull. Amer. Math. Soc. 55 (1949), 763-768. MR 11, 76. MR 30941
  • 102. Abraham Adrian Albert, A theory of trace-admissible algebras, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 317-322. MR 11, 6. MR 30511
  • 103. Abraham Adrian Albert, Almost alternative algebras, Portugal. Math. 8 (1949), 23-36. MR 11, 316. MR 32609
  • 104. Abraham Adrian Albert, A note on the exceptional Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 372-374. MR 12, 5. MR 35753
  • 105. Abraham Adrian Albert, A theory of power-associative commutative algebras, Trans. Amer. Math. Soc. 69 (1950), 503-527. MR 12, 475. MR 38959
  • 106. Abraham Adrian Albert, New simple power-associative algebras, Summa Brasil. Math. 2 (1951), 183-194. MR 14, 11. MR 48421
  • 107. Abraham Adrian Albert, Power-associative algebras, Proc. Internat. Congress Math. (Cambridge, Mass., 1950), vol. 2, Amer. Math. Soc. Providence, R.I., 1952, pp. 25-32. MR 13, 527. MR 45103
  • 108. Abraham Adrian Albert, On nonassociative division algebras, Trans. Amer. Math. Soc. 72 (1952), 296-309. MR 13, 816. MR 47027
  • 109. Abraham Adrian Albert, On simple alternative rings, Canad. J. Math. 4 (1952), 129-135. MR 14, 11. MR 48420
  • 110. Abraham Adrian Albert, On commutative power-associative algebras of degree two, Trans. Amer. Math. Soc 74 (1953), 323-343. MR 14, 614. MR 52409
  • 111. Abraham Adrian Albert, Rational normal matrices satisfying the incidence equation, Proc. Amer. Math. Soc 4 (1953), 554-559. MR 15, 94. MR 56570
  • 112. Abraham Adrian Albert, The structure of right alternative algebras, Ann. of Math. (2) 59 (1954), 408-417. MR 15, 774. MR 61096
  • 113. Abraham Adrian Albert, (with M. S. Frank), Simple Lie algebras of characteristic p, Univ. e Politec. Torino. Rend. Sem. Mat. 14 (1954/55), 117-139. MR 18, 52. MR 79222
  • 114. Abraham Adrian Albert, Leonard Eugene Dickson, 1874-1954, Bull. Amer. Math. Soc 61 (1955), 331-345. MR 17, 2. MR 70564
  • 115. Abraham Adrian Albert, On involutorial algebras, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 480-482. MR 17, 9. MR 70623
  • 116. Abraham Adrian Albert, On Hermitian operators over the Cayley algebra, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 639-640. MR 17, 123. MR 71416
  • 117. Abraham Adrian Albert, A property of special Jordan algebras, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 624-625. MR 18, 375. MR 81271
  • 118. Abraham Adrian Albert, The norm form of a rational division algebra, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 506-509. MR 19, 246. MR 86807
  • 119. Abraham Adrian Albert, On certain trinomial equations in finite fields, Ann. of Math. (2) 66 (1957), 170-178. MR 19, 394. MR 87691
  • 120. Abraham Adrian Albert, (with B. Muckenhoupt), On matrices of trace zero, Michigan Math. J. 4 (1957), 1-3. MR 18, 786.
  • 121. Abraham Adrian Albert, On partially stable algebras, Trans. Amer. Math. Soc. 84 (1957), 430-443. MR 19, 1156. MR 92778
  • 122. Abraham Adrian Albert, (with N. Jacobson), On reduced exceptional simple Jordan algebras, Ann. of Math. (2) 66 (1957), 400-417. MR 19, 527. MR 88487
  • 123. Abraham Adrian Albert, A property of ordered rings, Proc. Amer. Math. Soc. 8 (1957), 128-129. MR 18, 557. MR 82480
  • 124. Abraham Adrian Albert, (with John Thompson), Two element generation of the projective unimodular group, Bull. Amer. Math. Soc. 64 (1958), 92-93. MR 20 #3211. MR 96728
  • 125. Abraham Adrian Albert, Addendum to the paper on partially stable algebras, Trans. Amer. Math. Soc. 87 (1958), 57-62. MR 19, 1157. MR 92779
  • 126. Abraham Adrian Albert, A construction of exceptional Jordan division algebras, Ann. of Math. (2) 67 (1958), 1-28. MR 19, 1036. MR 91946
  • 127. Abraham Adrian Albert, On the orthogonal equivalence of sets of real symmetric matrices, J. Math. Mech. 7 (1958), 219-235. MR 19, 1153. MR 92753
  • 128. Abraham Adrian Albert, A solvable exceptional Jordan algebra, J. Math. Mech. 8 (1959), 331-337. MR 21 #681. MR 101875
  • 129. Abraham Adrian Albert, (with L. J. Paige), On a homomorphism property of certain Jordan algebras, Trans. Amer. Math. Soc. 93 (1959), 20-29. MR 21 #7240. MR 108524
  • 130. Abraham Adrian Albert, (with John Thompson), Two-element generation of the projective unimodular group, Illinois J. Math. 3 (1959), 421-439. MR 21 #5681. MR 106951
  • 131. Abraham Adrian Albert, Finite noncommutative division algebras, Proc. Amer. Math. Soc. 9 (1958), 928-932. MR 21 #1994. MR 103212
  • 132. Abraham Adrian Albert, Finite division algebras and finite planes, Proc. Sympos. Appl. Math., Vol. 10, Amer. Math. Soc. Providence, R.I., 1960, pp. 53-70. MR 22 #6831. MR 116036
  • 133. Abraham Adrian Albert, On the collineation groups associated with twisted fields, Calcutta Math. Soc. Golden Jubilee Commemoration Volume (1958/59), part II, Calcutta Math. Soc. Calcutta, 1963, pp. 485-497. MR 28 #3070. MR 159854
  • 134. Abraham Adrian Albert, On the collineation groups of certain non-desarguesian planes, Portugal. Math. 18 (1959), 207-224. MR 24 #A473. MR 130613
  • 135. Abraham Adrian Albert, Generalized twisted fields, Pacific J. Math. 11 (1961), 1-8. MR 23 #A182. MR 122850
  • 136. Abraham Adrian Albert, Isotopy for generalized twisted fields, An. Acad. Brazil. Ci. 33 (1961), 265-275. MR 25 #3070. MR 139639
  • 137. Abraham Adrian Albert, On involutorial associative division algebras, Scripta Math. 26 (1963), 309-316. MR 31 #3451. MR 179202
  • 138. Abraham Adrian Albert, On the nuclei of a simple Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 446-447. MR 27 #3679. MR 153718
  • 139. Abraham Adrian Albert, Finite planes for the high school, The Math. Teacher 55 (1962), 165-169.
  • 140. Abraham Adrian Albert, A normal form for Riemann matrices, Canad. J. Math. 17 (1965), 1025-1029. MR 32 #111. MR 182628
  • 141. Abraham Adrian Albert, On exceptional Jordan division algebras, Pacific J. Math. 15 (1965), 377-404. MR 32 #130. MR 182647
  • 142. Abraham Adrian Albert, On associative division algebras of prime degree, Proc. Amer. Math. Soc. 16 (1965), 799-802. MR 31 #3452. MR 179203
  • 143. Abraham Adrian Albert, The finite planes of Ostrom, Bol. Soc. Mat. Mexicana (2) 11 (1966), 1-13. MR 37 #6826. MR 231271
  • 144. Abraham Adrian Albert, New results on associative division algebras, J. Algebra 5 (1967), 110-132. MR 34 #2617. MR 202757
  • 145. Abraham Adrian Albert, On some properties of biabelian fields, An. Acad. Brasil. Ci. 38 (1966), 217-221. MR 34 #7498. MR 207683
  • 146. Abraham Adrian Albert, On certain polynomial systems, Scripta Math. 28 (1967), 15-19. MR 35 #2865. MR 211990
  • 147. Abraham Adrian Albert, On associative division algebras (Retiring Presidential Address), Bull. Amer. Math. Soc. 74 (1968), 438-454. MR 36 #5166. MR 222114
  • 148. Abraham Adrian Albert, A note on certain cyclic algebras, J. Algebra 14 (1970), 70-72. MR 40 #4297. MR 251066
  • 149. Abraham Adrian Albert, Tensor products of quaternion algebras, Proc. Amer. Math. Soc. 35 (1972), 65-66. MR 45 #6855. MR 297803
  • 150. S. A. Amitsur, On central division algebras, Israel J. Math. 12 (1972), 408-420. MR 47 #6763. MR 318216
  • 151. R. Block, New simple Lie algebras of prime characteristic, Trans. Amer. Math. Soc. 89 (1958), 421-449. MR 20 #6446. MR 100010
  • 152. Richard Brauer, Über Systeme hyperkomplexer Zahlen, Math. Z. 30 (1929), no. 1, 79–107 (German). MR 1545045, https://doi.org/10.1007/BF01187754
  • 153. Richard Brauer, Untersuchungen über die arithmetischen Eigenschaften von Gruppen linearer Substitutionen, Math. Z. 31 (1930), no. 1, 733–747 (German). MR 1545145, https://doi.org/10.1007/BF01246444
  • 154. R. Brauer, On normal division algebras of index five, Proc. Nat. Acad. Sci. U.S.A. 24 (1938), 243-246.
  • 155. R. Brauer, H. Hasse and E. Noether, Beweis eines Hauptsatzes in der Theorie der Algebren, J. Reine Angew. Math. 167 (1931), 399-404.
  • 156. F. Cecioni, Sopra un tipo di algebre prive di divisore dello zero, Rend. Circ. Mat. Palermo 47 (1923), 209-254.
  • 157. P. M. Cohn, On homomorphic images of special Jordan algebras, Canad. J. Math. 6 (1954), 253-264. MR 15, 678. MR 60496
  • 158. L. E. Dickson, New division algebras, Trans. Amer. Math. Soc. 28 (1926), no. 2, 207–234. MR 1501341, https://doi.org/10.1090/S0002-9947-1926-1501341-6
  • 159. L. E. Dickson, Construction of division algebras, Trans. Amer. Math. Soc. 32 (1930), no. 2, 319–334. MR 1501540, https://doi.org/10.1090/S0002-9947-1930-1501540-4
  • 160. M. S. Frank, A new class of simple Lie algebras, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 713-719. MR 16, 562. MR 66360
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Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1974-13622-0

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