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Currently published by the American Institute of Mathematical Sciences as Electronic Research Announcements in Mathematical Sciences

On non-Spechtianness of the variety of associative rings that satisfy the identity $x^{32} = 0$

Author(s): A. V. Grishin
Journal: Electron. Res. Announc. Amer. Math. Soc. 6 (2000), 50-51.
MSC (2000): Primary 16R10
Posted: July 19, 2000
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Abstract | References | Similar articles | Additional information

Abstract:

In this paper we construct examples of -spaces and -ideals over a field of characteristic 2, which do not have the finite basis property.

References:

1.: I. V. Lvov, Varieties of associative rings. I, Algebra i Logika 12 (1973), 269-297. (Russian) MR 52:10802
2.: B. I. Kruse, Identities satisfied by a finite ring, J. Algebra 26 (1973), 298-318. MR 48:4025
3.: A. R. Kemer, Finite basability of identities of associative algebras, Algebra i Logika 26 (1987), 597-641; English transl., Algebra and Logic 26 (1987), 362-397. MR 90b:08008
4.: A. V. Grishin, On the finite basis property of abstract -spaces, Fundamental'naya i Prikladnaya Matematika 1 (1995), 669-700. (Russian)
5.: A. V. Grishin, Examples of -spaces and -ideals over a field of characteristic without the finite basis property, Fundamental'naya i Prikladnaya Matematika 5 (1999), 101-118. (Russian)


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