On non-Spechtianness of the variety of associative rings that satisfy the identity

Author:
A. V. Grishin

Journal:
Electron. Res. Announc. Amer. Math. Soc. **6** (2000), 50-51

MSC (2000):
Primary 16R10

DOI:
https://doi.org/10.1090/S1079-6762-00-00080-9

Published electronically:
July 19, 2000

MathSciNet review:
1777855

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Abstract | References | Similar Articles | Additional Information

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

**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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Additional Information

**A. V. Grishin**

Affiliation:
Department of Mathematics, Moscow State Pedagogical University, Krasnoprudnaya 14, Moscow, Russia

Email:
markov@mech.math.msu.su

DOI:
https://doi.org/10.1090/S1079-6762-00-00080-9

Received by editor(s):
March 22, 1999

Published electronically:
July 19, 2000

Communicated by:
Efim Zelmanov

Article copyright:
© Copyright 2000
American Mathematical Society