Nonmatrix varieties. (English. Russian original) Zbl 0467.16025
Algebra Logic 19, 157-178 (1981); translation from Algebra Logika 19, 255-283 (1980).
MSC:
| 16Rxx | Rings with polynomial identity |
References:
| [1] | A. I. Mal’tsev, Algebraic Systems [in Russian], Nauka, Moscow (1970). |
| [2] | V. N. Latyshev, ”The finite basis property for the identities of certain rings,” Usp. Mat. Nauk,32, No. 4, 259–266 (1977). · Zbl 0359.16008 |
| [3] | P. J. Higgins, ”Lie rings satisfying the Engel condition,” Proc. Cambridge Phil. Soc.,50, No. 1, 8–15 (1954). · Zbl 0055.02601 · doi:10.1017/S0305004100029017 |
| [4] | V. N. Latyshev, ”Nonmatrix varieties of associative algebras,” Doctoral Dissertation, Moscow State Univ., Moscow (1978). |
| [5] | G. de B. Robinson, Representation Theory of the Symmetric Group, Univ. of Toronto Press (1961). · Zbl 0102.02002 |
| [6] | C. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York (1962). · Zbl 0131.25601 |
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| [9] | A. Regev, ”Existence of identities inA B,” Israel J. Math.,11, No. 2, 131–152 (1972). · Zbl 0249.16007 · doi:10.1007/BF02762615 |
| [10] | G. Higman, ”On a conjecture of Nagata,” Proc. Cambridge Phill. Soc.,52, No. 1, 1–4 (1956). · Zbl 0072.02502 · doi:10.1017/S0305004100030899 |
| [11] | A. R. Kemer, ”Remark on the standard identity,” Mat. Zametki,23, No. 5, 753–757 (1978). · Zbl 0436.16013 |
| [12] | A. Z. Anan’in, ”Locally finitely approximable and locally representable varieties of algberas,” Algebra Logika,16, No. 1, 3–23 (1977). · Zbl 0381.16010 |
| [13] | Yu. P. Razmyslov, ”The Jacobson radical in PI-algebras,” Algebra Logika,13, No. 3, 337–360 (1974). |
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