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The Brown Mccoy radical of semigroup rings of commutative cancellative semigroups

1985
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Glasgow Mathematical Journal
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1. We give a complete description of the Brown-McCoy radical of a semigroup ring R [S], where R is an arbitrary associative ring and S is a commutative cancellative semigroup; in particular we obtain the answer to a question of E. PuczyTowski stated in [11]. Throughout this note all rings R are associative with unity 1; all semigroups S are commutative and cancellative with unity. Note that the condition that R and S have a unity can be dropped (cf. [8]). The quotient group of S is denoted by

doi:10.1017/s0017089500005863
fatcat:o7h7odogorcfbml2lrpxmu3kza