FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 4, PAGES 1193-1203
V. Yu. Popov
Abstract
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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.
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