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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Bibliographic Details
Main Author: Peter Danchev
Format: Article
Language:English
Published: Universidad de La Frontera 2012-01-01
Series:Cubo
Subjects:
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000100005