Generalized incidence matrices over group algebras
نویسندگان
چکیده
منابع مشابه
Generalized Drazin inverse of certain block matrices in Banach algebras
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
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Let $(R, m)$ be a commutative noetherian local ring and let $Gamma$ be a finite group. It is proved that if $R$ admits a dualizing module, then the group ring $Rga$ has a dualizing bimodule as well. Moreover, it is shown that a finitely generated $Rga$-module $M$ has generalized Gorenstein dimension zero if and only if it has generalized Gorenstein dimension zero as an $R$-module.
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Every commuting set of normal matrices with entries in an AW*algebra can be simultaneously diagonalized. To establish this, a dimension theory for properly infinite projections in AW*-algebras is developed. As a consequence, passing to matrix rings is a functor on the category of AW*-
متن کاملgeneralized drazin inverse of certain block matrices in banach algebras
several representations of the generalized drazin inverse of an anti-triangular block matrix in banach algebra are given in terms of the generalized banachiewicz--schur form.
متن کاملExpanding generalized Hadamard matrices over Gm by substituting several generalized Hadamard matrices over G
Over an additive abelian group of order and for a given positive integer , a generalized Hadamard matrix is defined as a matrix , where and , such that every element of appears exactly times in the list , , , , for any . In this paper, we propose a new method of expanding a over by replacing each of its -tuple with where . We may use (not necessarily all distinct) ’s for the substitution and th...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1957
ISSN: 0019-2082
DOI: 10.1215/ijm/1255380676