This is a preview of subscription content, log in via an institution to check access.
Literature cited
Dnestrovskaya Tetrad', Unsolved Problems in the Theory of Rings and Modules [in Russian], Novosibirsk (1982).
G. V. Dorofeev, "On varieties of generally standard and generally attainable algebras," Algebra Logika,15, No. 2, 143–167 (1976).
V. S. Drenski, "Representations of a symmetric group and varieties of linear algebras," Mat. Sb.,115, No. 1, 98–115 (1981).
K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Nearly Associative Rings [in Russian], Nauka, Moscow (1978).
A. V. Il'tyakov, "Specht ideals of identities of certain simple nonassociative algebras," 17th All-Union Algebraic Conf.,1, Minsk (1983), p. 83.
A. I. Il'tyakov, "Free alternative algebras of rank 3," Algebra Logika,23, No. 2, 136–158 (1984).
Yu. P. Razmyslov, "Finite basability of identities of a matrix algebra of order two over a field of characteristic zero," Algebra Logika,12, No. 1, 83–113 (1973).
Yu. P. Razmyslov, "Finite basability of identities of representations of a simple three-dimensional Lie algebra over a field of characteristic zero," Algebra. Collected Works, On the 90th anniversary of the birth of O. Yu. Schmidt, Moscow State Univ. (1982), pp. 139–150.
A. I. Shirshov, "Subalgebras of free commutative and free anticommutative algebras," Mat. Sb.,34, No. 1, 82–88 (1954).
V. S. Drensky, "Polynomial identities in simple Jordan algebras," C. R. Acad. Bulg. Sci.,35, No. 10, 1327–1330 (1982).
N. Jacobson, Structure and Representation of Jordan Algebras, Am. Math. Soc. Colloq. Publ., 39, Providence, RI (1968).
Additional information
Translated from Algebra i Logika, Vol. 24, No. 3, pp. 327–351, May–June, 1985.
Rights and permissions
About this article
Cite this article
Il'tyakov, A.V. Specht ideals of identities of certain simple nonassociative algebras. Algebra and Logic 24, 210–228 (1985). https://doi.org/10.1007/BF02080333
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02080333