Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
Author
Danchev, Peter
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/135310.4067/S0719-06462012000100005
Abstract
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 finite. 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).