Summable Family in a Commutative Group
نویسندگان
چکیده
منابع مشابه
Commutative Group Algebras of Σ-summable Abelian Groups
In this note we study the commutative modular and semisimple group rings of σ-summable abelian p-groups, which group class was introduced by R. Linton and Ch. Megibben. It is proved that S(RG) is σ-summable if and only if Gp is σ-summable, provided G is an abelian group and R is a commutative ring with 1 of prime characteristic p, having a trivial nilradical. If Gp is a σ-summable p-group and t...
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Let R be a commutative ring with identity. If G is a group, then one can form the group algebra of G over R which we shall denote by R[G]. One can then ask the basic question, how much information about the group G can be deduced from the F-algebra R[G]7 A slightly different formulation is to assume that G and //are groups with R[G] isomorphic to R[H] as /^-algebras and to ask what relations ex...
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A method for finding an optimum n-dimensional commutative group code of a given order M is presented. The approach explores the structure of lattices related to these codes and provides a significant reduction in the number of non-isometric cases to be analyzed. The classical factorization of matrices into Hermite and Smith normal forms and also basis reduction of lattices are used to character...
متن کاملThe Schur Group of a Commutative Ring
The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphlc image of a group ring RG for some finite group G. It is the purpose of ths article to continue an investigation of this group which was introduced in earler work as a natural gene=allzatlon of the Schur group of a field. We generalize certain facts pertaining to t...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2015
ISSN: 1898-9934,1426-2630
DOI: 10.1515/forma-2015-0022