Short communications

On the radicals of twisted semigroup rings

G. B. Lungu

M. V. Lomonosov Moscow State University

Abstract: In this paper we investigate the radicals of twisted semigroup rings, which are special semilattice-graded rings. It is shown that the twisted semigroup rings of semilattices and Clifford semigroup are of the above type, and so, the characterization of the radical and some semisimplicity conditions are applicable to them.

UDC: 512.552

Received: 01.12.1997

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