A class of contracted inverse semigroup rings

Walter Douglas Munn · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1987

Synopsis Contracted inverse semigroup rings are studied subject to the restriction that the semilattices of the given inverse semigroups satisfy a certain finiteness condition, introduced in 1980 by Teply, Turman and Quesada. Results are obtained on semiprimitivity, primitivity, primeness, decomposition into a direct sum of ideals, and chain conditions on one-sided ideals.

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