Book Review
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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.
- 1. A. A. Albert, Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552–593. MR 0027750, https://doi.org/10.1090/S0002-9947-1948-0027750-7
- 2. T. Anderson, A note on derivations of commutative algebras, Proc. Amer. Math. Soc. 17 (1966), 1199–1202. MR 0204469, https://doi.org/10.1090/S0002-9939-1966-0204469-7
- 3. Georgia M. Benkart and J. Marshall Osborn, Flexible Lie-admissible algebras, J. Algebra 71 (1981), no. 1, 11–31. MR 627422, https://doi.org/10.1016/0021-8693(81)90103-4
- 4. Georgia M. Benkart and J. Marshall Osborn, Power-associative products on matrices, Proceedings of the First International Conference on Nonpotential Interactions and their Lie-Admissible Treatment, Part D (Orléans, 1982), 1981/82, pp. 1859–1892. MR 683312
- 5. Richard E. Block, Determination of 𝐴⁺ for the simple flexible algebras, Proc. Nat. Acad. Sci. U.S.A. 61 (1968), 394–397. MR 0235002
- 6. P. J. Laufer and M. L. Tomber, Some Lie admissible algebras, Canad. J. Math. 14 (1962), 287–292. MR 0136636, https://doi.org/10.4153/CJM-1962-020-9
- 7. Hyo Chul Myung, Lie-admissible algebras, Hadronic J. 1 (1978), no. 1, 169–193. MR 506117
- 8. 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, https://doi.org/10.1090/S0002-9947-1981-0603775-4
- 9.
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
Ruggero Maria Santilli, Lie-admissible approach to the hadronic structure. Vol. II, Hadronic Press Monographs in Theoretical Physics, vol. 2, Hadronic Press, Inc., Nonantum, MA, 1982. Covering of the Galilei and Einstein relativities?. MR 784034
Review Information:
Reviewer: J. Marshall Osborn
Journal: Bull. Amer. Math. Soc. 18 (1988), 185-187
DOI: https://doi.org/10.1090/S0273-0979-1988-15642-X