Resumo

DANCHEV, Peter. Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings. Cubo [online]. 2012, vol.14, n.1, pp. 49-54. ISSN 0719-0646.  doi: 10.4067/S0719-06462012000100005.

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/G_p 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).

Palavras-chave : groups; rings; group rings; indecomposable rings; units; direct decompositions; isomorphisms.