Radicals of semigroup rings of commutative semigroups

Abstract

In this paper we determine radicals of semigroup rings R [ S ] where R is an associative, not necessarily commutative, ring and S is a commutative semigroup. We will restrict ourselves to the prime radical P , the Levitzki radical L and the Jacobson radical J . At the end we will also give a few comments on the Brown-McCoy radical U .