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Licensed Unlicensed Requires Authentication Published by De Gruyter July 27, 2005

Generators for a subgroup of finite index in the unit group of an integral semigroup ring

  • Ann Dooms and Eric Jespers
From the journal Journal of Group Theory

Abstract

We explicitly construct finitely many generators for a subgroup of finite index in the unit group of an arbitrary integral semigroup ring ℤS (with identity) of a finite semigroup S, subject to some restrictions on the simple epimorphic images of degree 1 and 2 of the rational semigroup algebra ℚS. For a Mal'tsev nilpotent semigroup S even more precise information is obtained for the generators coming from the radical, and furthermore we can overcome most of the restrictions imposed on the simple images mentioned above. This extends previous work on group rings, matrices over group rings and some other orders.

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Published Online: 2005-07-27
Published in Print: 2004-09-06

© de Gruyter

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