%0 Journal Article
%T Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
%A Danchev
%A Peter
%J Cubo (Temuco)
%D 2012
%I Scientific Electronic Library Online
%R 10.4067/S0719-06462012000100005
%X 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).
%K groups
%K rings
%K group rings
%K indecomposable rings
%K units
%K direct decompositions
%K isomorphisms.
%U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462012000100005&lng=en&nrm=iso&tlng=en