FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 3, PAGES 667-687

Semigroup rings and prime radicals of ring and semigroup

A. Yu. Golubkov

Abstract

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Our main purpose in this paper is the demonstration of an alternative approach to construction of prime radicals in semigroups and besides we obtained correlations between the prime radical of a ring and prime radicals of its multiplicative semigroup in the widest possible classes of rings.

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Last modified: February 17, 2003