Semigroup rings and prime radicals of ring and semigroup

A. Yu. Golubkov

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 512.53+512.552.12+512.552.34

Received: 01.07.1998

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