Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings

Let R be a commutative unitary ring of prime characteristic p which is a direct product of indecomposable subrings and let G be a multiplicative Abelian group such that G0/Gp is nite. We characterize the isomorphism class of the unit group U(RG) of the group algebra RG. This strengthens recent resul...

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Autor principal:	Danchev,Peter
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2012
Materias:	groups rings group rings indecomposable rings units direct decompositions isomorphisms
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100005
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spelling	oai:scielo:S0719-064620120001000052018-10-08Units in Abelian Group Algebras Over Direct Products of Indecomposable RingsDanchev,Peter groups rings group rings indecomposable rings units direct decompositions isomorphisms Let R be a commutative unitary ring of prime characteristic p which is a direct product of indecomposable subrings and let G be a multiplicative Abelian group such that G0/Gp is nite. We characterize the isomorphism class of the unit group U(RG) of the group algebra RG. This strengthens recent results due to Mollov-Nachev (Commun. Algebra, 2006) and Danchev (Studia Babes Bolyai - Mat., 2011).info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.14 n.1 20122012-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100005en10.4067/S0719-06462012000100005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	groups rings group rings indecomposable rings units direct decompositions isomorphisms
spellingShingle	groups rings group rings indecomposable rings units direct decompositions isomorphisms Danchev,Peter Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
description	Let R be a commutative unitary ring of prime characteristic p which is a direct product of indecomposable subrings and let G be a multiplicative Abelian group such that G0/Gp is nite. We characterize the isomorphism class of the unit group U(RG) of the group algebra RG. This strengthens recent results due to Mollov-Nachev (Commun. Algebra, 2006) and Danchev (Studia Babes Bolyai - Mat., 2011).
author	Danchev,Peter
author_facet	Danchev,Peter
author_sort	Danchev,Peter
title	Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
title_short	Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
title_full	Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
title_fullStr	Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
title_full_unstemmed	Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
title_sort	units in abelian group algebras over direct products of indecomposable rings
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2012
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100005
work_keys_str_mv	AT danchevpeter unitsinabeliangroupalgebrasoverdirectproductsofindecomposablerings
_version_	1714206776095670272

Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings

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