This article is cited in 1 paper

On decidability of the equational theories of ring varieties of finite characteristic

V. Yu. Popov

Urals State Pedagogical University

Abstract: It is proved that for every natural number $n>1$ there exists a finitely based variety $\mathfrak X_n$ of (not necessarily associative) rings such that $\mathfrak X_n\models nx=0$, $\mathfrak X_n\not\models mx=0$ for every natural number $m<n$, and the equational theory $\mathfrak X_n$ is undecidable.

UDC: 512.519.4

Received: 01.01.1998

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