The Hermitian Morita theorems.

Verhaege, P.; Verschoren, A.

Displaying similar documents to “The Hermitian Morita theorems.”

Relative hermitian Morita theory. Part II: Hermitian Morita contexts.

Pieter Verhaeghe, Alain Verschoren (1992)

Publicacions Matemàtiques

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We introduce the notion of a relative hermitian Morita context between torsion triples and we show how these induce equivalences between suitable quotient categories of left and right modules. Due to the lack of involutive bimodules, the induced Morita equivalences are not necessarily hermitian, however.

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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Localization of differential operators and of higher order de Rham complexes

Gabriele Vezzosi (1997)

Rendiconti del Seminario Matematico della Università di Padova

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On restrictions of generic modules of tame algebras

Raymundo Bautista, Efrén Pérez, Leonardo Salmerón (2013)

Open Mathematics

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Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.

A bicategorical approach to static modules.

Betti, Renato (1999)

Theory and Applications of Categories [electronic only]

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Properties of G-atoms and full Galois covering reduction to stabilizers

Piotr Dowbor (2000)

Colloquium Mathematicae

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Given a group G of k-linear automorphisms of a locally bounded k-category R it is proved that the endomorphism algebra $E n d_{R} (B)$ of a G-atom B is a local semiprimary ring (Theorem 2.9); consequently, the injective $E n d_{R} (B)$ -module ${(E n d_{R} (B))}^{*}$ is indecomposable (Corollary 3.1) and the socle of the tensor product functor $- \otimes_{R} B^{*}$ is simple (Theorem 4.4). The problem when the Galois covering reduction to stabilizers with respect to a set U of periodic G-atoms (defined by the functors $Φ^{U} : ∐_{B \in U} m o d k G_{B} \to m o d (R / G)$ and $Ψ^{U} : m o d (R / G) \to \prod_{B \in U} m o d k G_{B}$ )is full (resp. strictly full)...

Endomorphism rings through equivalences

J. L. García, M. Saorín (1988)

Extracta Mathematicae

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An alternate criterion of colocalized-localized modules.

Syed Khalid Nauman (1993)

Extracta Mathematicae

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The aim of this note is to express a module which is localized as well as colocalized in terms of an object of an intersecting subcategory related to static modules.

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.