Square-Free Rings And Their Automorphism Group

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dc.creatorMontgomery, Martin W.
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:06:06Z
dc.date.available2026-07-07T10:06:06Z
dc.descriptionFinite-dimensional square-free algebras have been completely characterized by Anderson and D'Ambrosia as certain twisted semigroup algebras over a square-free semigroup S with coefficients in a field K. D'Ambrosia extended the definition of square-free to artinian rings with unity and showed every square-free ring has an associated division ring D and square-free semigroup S. We show a square-free ring can be characterized as a twisted semigroup ring over a square-free semigroup S with coefficients in a division ring D. Also, to each square-free ring there exists a short exact sequence connecting the outer automorphisms of a square-free ring to certain cohomology groups related to S and D.
dc.description18 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0809.4878
dc.identifierhttp://arxiv.org/abs/0809.4878
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170214
dc.subjectRings and Algebras
dc.subject16P20
dc.titleSquare-Free Rings And Their Automorphism Group
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