Stable Clifford theory for divisorially graded rings.

Gómez Torrecillas, José; Torrecillas, Blas

Displaying similar documents to “Stable Clifford theory for divisorially graded rings.”

Weak Baer modules over graded rings

Mark Teply, Blas Torrecillas (1998)

Colloquium Mathematicae

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In [2], Fuchs and Viljoen introduced and classified the $B^{*}$ -modules for a valuation ring R: an R-module M is a $B^{*}$ -module if $E x t_{R}^{1} (M, X) = 0$ for each divisible module X and each torsion module X with bounded order. The concept of a $B^{*}$ -module was extended to the setting of a torsion theory over an associative ring in [14]. In the present paper, we use categorical methods to investigate the $B^{*}$ -modules for a group graded ring. Our most complete result (Theorem 4.10) characterizes $B^{*}$ -modules for a strongly graded...

Smash products for $G$ -sets, Clifford theory and duality theorems.

Năstăsescu, C., Van Oystaeyen, Fred, Zhou, Borong (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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When are induction and coinduction functors isomorphic?

Menini, Claudia, Nastasescu, Constantin (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Endomorphism rings through equivalences

J. L. García, M. Saorín (1988)

Extracta Mathematicae

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Strongly graded left FTF rings.

José Gómez, Blas Torrecillas (1992)

Publicacions Matemàtiques

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An associated ring R with identity is said to be a left FTF ring when the class of the submodules of flat left R-modules is closed under injective hulls and direct products. We prove (Theorem 3.5) that a strongly graded ring R by a locally finite group G is FTF if and only if R is left FTF, where e is a neutral element of G. This provides new examples of left FTF rings. Some consequences of this Theorem are given.

Koszul duality of translation- and Zuckerman functors.

Ryom-Hansen, Steen (2004)

Journal of Lie Theory

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Representable equivalences for closed categories of modules

Sonia Dal Pio, Adalberto Orsatti (1994)

Rendiconti del Seminario Matematico della Università di Padova

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Categorical methods in graded ring theory.

Angel del Río (1992)

Publicacions Matemàtiques

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Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring. ...

A Morita type theorem for a sort of quotient categories

Simion Breaz (2005)

Czechoslovak Mathematical Journal

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We consider the quotient categories of two categories of modules relative to the Serre classes of modules which are bounded as abelian groups and we prove a Morita type theorem for some equivalences between these quotient categories.