Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings
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Peter Danchev
pvdanchev@yahoo.com
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https://doi.org/10.4067/S0719-06462012000100005Abstract
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).
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Published
2012-03-01
How to Cite
[1]
P. Danchev, “Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings”, CUBO, vol. 14, no. 1, pp. 49–54, Mar. 2012.
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