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Title: Isomorphism of Commutative Group Algebras of Finite Abelian Groups
Authors: Mollov, Todor
Nachev, Nako
Keywords: Commutative Semisimple Group Algebras
Finite Abelian P-Groups
Direct 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).
ISBN: 9789544236489
Appears in Collections:REMIA 2010

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