FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 3, PAGES 721-727

On graded rings and varieties

A. V. Kelarev

Abstract

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For any semigroup $S$, we completely describe all varieties closed for taking $S$-graded rings. Also, we describe all varieties closed for sums of two rings.

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