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).
