A note on primeness of semigroup rings

Pedro V. Silva · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1992

Synopsis This note discusses primeness for semigroup rings of semigroups satisfying a certain condition, weaker than the u.p. property. These semigroups include free products of semigroups, semigroups presented by a single relator and at least three generators, and free inverse semigroups of infinite rank.

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