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Book Review
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Book Information
Author(s):
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
References:
- 1.
- A. A. Albert, On Jordan algebras of linear transformations, Trans. Amer. Math. Soc. 59 (1946), 524-555. MR 16759
- 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
Additional Information:
Reviewer(s):
J. Marshall
Osborn
Review Information:
Journal:
Bull. Amer. Math. Soc.
9
(1983),
121-127.
DOI:
10.1090/S0273-0979-1983-15180-7
PII:
S 0273-0979(1983)15180-7
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