Bulletin of the American Mathematical Society

MathSciNet review: 1567449
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Book Information:

Authors: K. A. Zhevlakov, A. M. Slin′ko, I. P. Shestakov and A. I. Shirshov
Title: Rings that are nearly associative
Additional book information: translated by Harry F. Smith, Academic Press, New York, 1982, xi + 371 pp., $6.00. ISBN 0-1277-9850-1.

A. A. Albert, On Jordan algebras of linear transformations, Trans. Amer. Math. Soc. 59 (1946), 524–555. MR 16759, DOI 10.1090/S0002-9947-1946-0016759-3

A. A. Albert, A structure theory for Jordan algebras, Ann. of Math. (2) 48 (1947), 546–567. MR 21546, DOI 10.2307/1969128

Studies in modern algebra, Studies in Mathematics, Vol. 2, Mathematical Association of America; distributed by Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0146228

Georgia M. Benkart, The construction of examples of Lie-admissible algebras, Hadronic J. 5 (1981/82), no. 2, 461–493. MR 659292

Georgia M. Benkart and J. Marshall Osborn, Flexible Lie-admissible algebras, J. Algebra 71 (1981), no. 1, 11–31. MR 627422, DOI 10.1016/0021-8693(81)90103-4

Hel Braun and Max Koecher, Jordan-Algebren, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band 128, Springer-Verlag, Berlin-New York, 1966 (German). MR 0204470

Bailey Brown and Neal H. McCoy, Prime ideals in nonassociative rings, Trans. Amer. Math. Soc. 89 (1958), 245–255. MR 96713, DOI 10.1090/S0002-9947-1958-0096713-4

James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Berlin, 1972. MR 0323842

Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0143793

Nathan Jacobson, Structure and representations of Jordan algebras, American Mathematical Society Colloquium Publications, Vol. XXXIX, American Mathematical Society, Providence, R.I., 1968. MR 0251099

N. Jacobson, Lectures on quadratic Jordan algebras, Tata Institute of Fundamental Research Lectures on Mathematics, No. 45, Tata Institute of Fundamental Research, Bombay, 1969. MR 0325715

N. Jacobson, Jordan algebras, Report of a conference on linear algebras, June, 1956, National Academy of Sciences-National Research Council, Washington, D.C., 1957, pp. pp 12–19. Publ. 502. MR 0093531

P. Jordan, J. von Neumann, and E. Wigner, On an algebraic generalization of the quantum mechanical formalism, Ann. of Math. (2) 35 (1934), no. 1, 29–64. MR 1503141, DOI 10.2307/1968117

J. Marshall Osborn, Varieties of algebras, Advances in Math. 8 (1972), 163–369 (1972). MR 289587, DOI 10.1016/0001-8708(72)90003-5

Richard D. Schafer, An introduction to nonassociative algebras, Pure and Applied Mathematics, Vol. 22, Academic Press, New York-London, 1966. MR 0210757

Marvin L. Tomber, A short history of nonassociative algebras, Hadronic J. 2 (1979), no. 6, 1252–1387. MR 566537

1.

A. A. Albert, On Jordan algebras of linear transformations, Trans. Amer. Math. Soc. 59 (1946), 524-555. MR 0016759

2.

A. A. Albert, A structure theory for Jordan algebras, Ann. of Math. (2) 48 (1947), 546-567. MR 21546

3.

A. A. Albert, Studies in modern algebra, Studies in Math., Vol. 2, Math. Assoc. Amer.; distributed by Prentice-Hall, Englewood Cliffs, N. J., 1963. MR 146228

4.

G. M. Benkart, The construction of examples of Lie-admissible algebras, Hadronic J. 5 (1982), 431-493. MR 659292

5.

G. M. Benkart and J. M. Osborn, Flexible Lie-admissible algebras, J. Algebra 71 (1981), 11-31. MR 627422

6.

H. Braun and M. Koecher, Jordan-Algebren, Springer-Verlag, Berlin and New York, 1966. MR 204470

7.

B. Brown and N. H. McCoy, Prime ideals in nonassociative rings, Trans. Amer. Math. Soc. 89 (1958), 245-255. MR 96713

8.

J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer-Verlag, Berlin and New York, 1972. MR 323842

9.

N. Jacobson, Lie algebras, Interscience, New York and London, 1962. MR 143793

10.

N. Jacobson, Structure and representations of Jordan algebras, Amer. Math. Soc. Colloq. Publ., vol. 39, Amer. Math. Soc., Providence, R. I., 1968. MR 251099

11.

N. Jacobson, Lectures on quadratic Jordan algebras, Tata Inst. of Fundamental Research, Bombay, 1969. MR 325715

12.

N. Jacobson, Structure theory of Jordan algebras, Univ. of Arkansas Lecture Notes in Math., Fayetteville, Arkansas, 1981. MR 93531

13.

P. Jordan, J. von Neumann, and E. Wigner, On an algebraic generalization of the quantum mechanical formalism, Ann. of Math. (2) 36 (1934), 29-64. MR 1503141

14.

J. M. Osborn, Varieties of algebras, Advances in Math. 8 (1972), 163-369. MR 289587

15.

R. D. Schafer, An introduction to nonassociative algebras, Academic Press, New York, 1966. MR 210757

16.

M. L. Tomber, A short history of nonassociative algebras, Hadronic J. 2 (1979), 1252-1387. MR 566537