Technique of semigroup ring theory: Regular semigroup rings
Copyright policy )Technique of semigroup ring theory: Regular semigroup rings
Let \(S\) be a semigroup and \(G\) a subgroup of \(S\). Let \(R\) be a ring (perhaps, without unity) and \(R'\) a subring of \(R\). The author gives connections between properties of the group ring \(RG\) and the semigroup ring \(RS\), and also the semigroup rings \(RS\) and \(R'S\). Some equivalent conditions for a group ring \(RG\) to be regular are given. Properties that are weaker or stronger than regularity are also considered.
regularity, Group rings, Ordinary and skew polynomial rings and semigroup rings, Semigroup rings, multiplicative semigroups of rings, von Neumann regular rings and generalizations (associative algebraic aspects), group rings, semigroup rings, Regular semigroups
regularity, Group rings, Ordinary and skew polynomial rings and semigroup rings, Semigroup rings, multiplicative semigroups of rings, von Neumann regular rings and generalizations (associative algebraic aspects), group rings, semigroup rings, Regular semigroups
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