Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1447

 Title: Isomorphism of Commutative Group Algebras of Finite Abelian Groups Authors: Mollov, TodorNachev, Nako Keywords: Commutative Semisimple Group AlgebrasFinite Abelian P-GroupsDirect Product of Indecomposable Rings Issue Date: 22-Nov-2010 Publisher: University Press "Paisii Hilendarski", Plovdiv Abstract: Let a commutative ring R be a direct product of indecomposable rings with identity and let G be a finite abelian p-group. In the present paper we give a complete system of invariants of the group algebra RG of G over R when p is an invertible element in R. These investigations extend some classical results of Berman (1953 and 1958), Sehgal (1970) and Karpilovsky (1984) as well as a result of Mollov (1986). URI: http://hdl.handle.net/10525/1447 ISBN: 9789544236489 Appears in Collections: REMIA 2010

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