Essentially infinitely based varieties of algebras. (English. Russian original) Zbl 0725.17002
Translation from [Sib. Mat. Zh. 30, No. 6(178), 75–77 (1989; Zbl 0708.17001)].
MSC:
| 17A30 | Nonassociative algebras satisfying other identities |
| 16R10 | \(T\)-ideals, identities, varieties of associative rings and algebras |
Citations:
Zbl 0708.17001References:
| [1] | S. V. Polin, ?On identities of finite algebras,? Sib. Mat. Zh.,17, No. 6, 1356-1366 (1976). |
| [2] | I. V. L’vov, ?Finite-dimensional algebras with infinite bases of identities,? Sib. Mat. Zh.,19, No. 1, 91-99 (1978). |
| [3] | I. M. Isaev, ?Finite-dimensional right alternative algebras generating infinitely based varieties,? Algebra Logika,25, No. 2, 136-153 (1986). |
| [4] | S. O. Macdonald and M. R. Vaughan-Lee, ?Varieties that make one Cross,? J. Austral. Math. Soc.,26, No. 3, 368-382 (1978). · Zbl 0393.17001 · doi:10.1017/S1446788700011897 |
| [5] | G. F. McNulty and C. R. Shallon, ?Inherently nonfinitely based finite algebras,? in: Lecture Notes in Math., Vol. 1004, Springer, Berlin etc. (1983), pp. 206-231. · Zbl 0513.08003 |
| [6] | M. V. Sapir, ?Essentially infinitely based finite semigroups,? Mat. Sb.,133, No. 2, 154-166 (1987). · Zbl 0634.20027 |
| [7] | Yu. N. Mal’tsev and E. N. Kuz’min, ?A basis of identities of the algebra of matrices of order two over a finite field,? Algebra Logika,17, No. 1, 28-32 (1978). |
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