Units in Abelian Group Algebras Over Direct Products of Indecomposable Rings

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DOI:

https://doi.org/10.4067/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).

Keywords

groups , rings , group rings , indecomposable rings , units , direct decompositions , isomorphisms
  • Pages: 49–54
  • Date Published: 2012-03-01
  • Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

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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.

Issue

Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal

Section

Articles