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	STUDIA MATHEMATICA - Issue no. 4 / 2011

	Article:	UNITS IN ABELIAN GROUP ALGEBRAS OVER INDECOMPOSABLE RINGS. Authors: PETER DANCHEV.


	Abstract: Suppose R is a commutative indecomposable unitary ring of prime characteristic p and G is a multiplicative Abelian group such that G₀/G_p is finite. We describe up to isomorphism the unit group U(RG) of the group algebra RG. This extends an earlier result due to Mollov-Nachev (Commun. Algebra, 2006) removing the restriction that G splits. Mathematics Subject Classification (2010): 16S34, 16U60, 20K21. Keywords: groups, rings, group rings, indecomposable rings, units, direct decompositions, isomorphisms.




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