Bulletin of the American Mathematical Society

MathSciNet review: 1567676
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Hyo Chul Myung
Title: Malcev-admissible algebras
Additional book information: Progress in Mathematics, vol. 64, Birkhäuser, Boston, Basel, Stuttgart, 1986, xvi+353 pp., $55.00. ISBN 0-8176-3345-6.

A. A. Albert, Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552–593. MR 27750, DOI 10.1090/S0002-9947-1948-0027750-7

T. Anderson, A note on derivations of commutative algebras, Proc. Amer. Math. Soc. 17 (1966), 1199–1202. MR 204469, DOI 10.1090/S0002-9939-1966-0204469-7

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

Georgia M. Benkart and J. Marshall Osborn, Power-associative products on matrices, Hadronic J. 5 (1981/82), no. 5, 1859–1892. MR 683312

Richard E. Block, Determination of $A^{+}$ for the simple flexible algebras, Proc. Nat. Acad. Sci. U.S.A. 61 (1968), 394–397. MR 235002, DOI 10.1073/pnas.61.2.394

P. J. Laufer and M. L. Tomber, Some Lie admissible algebras, Canadian J. Math. 14 (1962), 287–292. MR 136636, DOI 10.4153/CJM-1962-020-9

Hyo Chul Myung, Lie-admissible algebras, Hadronic J. 1 (1978), no. 1, 169–193. MR 506117

Susumu Okubo and Hyo Chul Myung, Adjoint operators in Lie algebras and the classification of simple flexible Lie-admissible algebras, Trans. Amer. Math. Soc. 264 (1981), no. 2, 459–472. MR 603775, DOI 10.1090/S0002-9947-1981-0603775-4

Ruggero Maria Santilli, Lie-admissible approach to the hadronic structure. Vol. I, Hadronic Press Monographs in Theoretical Physics, vol. 1, Hadronic Press, Inc., Nonantum, MA, 1978. Nonapplicability of the Galilei and Einstein relativities?. MR 784033

1.

A. A. Albert, Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552-593. MR 0027750

2.

C. T. Anderson, A note on derivations of commutative algebras, Proc. Amer. Math. Soc. 17 (1966), 1199-1202. MR 204469

3.

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

4.

G. M. Benkart and J. M. Osborn, Flexible Lie-admissible algebras with the solvable radical of A, Hadronic J. 4 (1981), 274-326. MR 683312

5.

R. E. Block, Determination of A, Proc. Nat. Acad. Sci. U.S.A. 61 (1968), 394-397. MR 235002

6.

P. J. Laufer and M. L. Tomber, Some Lie admissible algebras, Canad. J. Math. 14 (1962), 287-292. MR 136636

7.

H. C. Myung, Lie-admissible algebras, Hadronic J. 1 (1978), 169-193. MR 506117

8.

S. Okubo and H. C. Myung, Adjoint operators in Lie algebras and the classification of simple flexible Lie-admissible algebras, Trans. Amer. Math. Soc. 264 (1981), 459-479. MR 603775

9.

R. M. Santilli, Lie-admissible approach to the hadronic structure, Vol. II, Hadronic Press, Nonantum, Mass., 1982. MR 784034