Abstract MORITA DUALITY FOR GROTHENDIECK CATEGORIES
the realization that Morita duality for Grothendieck categories can, in ..... Fuller dualities is of special interest because of its application to the study of QF-3 and ...
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Exactness of the double dual and Morita duality for grothendieck
Exactness of the double dual and Morita duality for grothendieck categories ... in terms of a Morita duality between their categories of left and right modules of ..... K. MORITA, Duality for modules and its applications to the theory of rings with ...
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Morita Duality for Grothendieck Categories - ScienceDirect.com
For more information, visit the cookies page. Copyright © 2016 Elsevier B.V. or its licensors or contributors. ScienceDirect ® is a registered trademark of Elsevier ...
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Linear compactness and Morita duality for Grothendieck categories
INTRODUCTION The theory of Morita duality for Grothendieck categories arises from the .... For instance, R is a maximal quotient ring when it is its own (two- sided) ...... Les foncteurs derivés de lim et leurs applications en théorie des modules.
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Morita Duality for Grothendieck Categories with Applications to
Morita duality; Grothendieck category; Reflexive objects; Coalgebras; Quasi-finite ..... A semiartinian object is called quasi-finite if its socle has finite generated.
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A Quillen model for classical Morita theory and a tensor
Nov 10, 2012 ... A Morita equivalence is a K-linear functor F : A → B with the .... the final category ( consisting of precisely one object and its identity arrow). ..... §4.11 Lemma 1]) that , in the Grothendieck category ModA, an object M is finitely ......  Kiiti Morita, Duality for modules and its applications to the theory of rings with ...
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Derived categories and their uses - School of Mathematics
Derived categories found their first applications in duality theory in the coherent setting  ... At the beginning of the seventies, Grothendieck-Verdier's methods were ... was generalized to 'Morita theory' for derived categories of module ...
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Linear Compactness and Morita Duality for Grothendieck Categories*
The theory of Morita duality for Grothendieck categories arises from the desire of extending the classical results on Morita duality to more genera1 contexts, such ...
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Differential graded categories - arXiv.org
derived categories, Grothendieck-Verdier introduced the notion of a triangulated category. ... The synthesis of Koszul duality   with Morita theory for derived categories  ... Its further development might lead to significant applications in ...
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Triangulated categories and applications
Grothendieck and Verdier introduced a new twist (triangulated categories), a refinement no .... for an abelian variety A and its dual abelian varietyˆA defined as an integral functor ... Thus we add a Morita invariance condition to the axioms for.
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QF-3' RINGS AND MORITA DUALITY R―>E―>RX for some set X
1 (1984). 183―188. QF-3' RINGS. AND. MORITA. DUALITY. By. R. R. Colby ... Grothendieck categories that serves to ..... 8.3 and 5.6) i? is QF-3' and its own ... Popescu, N., Abelian Categories with Applications to Rings and Modules, New.
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Generators in module and comodule categories
In Grothendieck categories we have the following properties of generators (see ..... [Mor] Morita,K., Duality for modules and its applications to the theory of rings ...
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Natural dualities between abelian categories - De Gruyter
Grothendieck categories, we can construct other useful pairs of right adjoint ...... [ 15] Morita K., Duality for modules and its applications to the theory of rings with ...
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Duality and Morita-equivalence: a topos - Olivia Caramello's website
Sep 3, 2015 ... Morita-equivalence from the perspective provided by the theory of topos-theoretic 'bridges' ... applications in different mathematical domains (including Algebra,. Geometry ... most effective way in the context of topos theory (or its ... equivalent categories of models in every Grothendieck topos E , naturally in ...
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MORITA HOMOTOPY THEORY OF C∗-CATEGORIES Contents 1
Dec 23, 2011 ... duality theory for compact groups with important applications in ... C∗-categories, Model categories, Morita equivalence, Grothendieck group ... between its automorphism group in the Morita homotopy category and its Picard.
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The duality theorem ... equivalent categories of models in any Grothendieck topos .... under Morita-equivalence is a property of their classifying ..... Applications.
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ON THE FREYD CATEGORIES OF AN ADDITIVE CATEGORY 1
the Freyd categories and to indicate their applications to the module theory of ... dual of the category C−mod of covariant finitely presented functors C −→ Ab. We prove that. A(C) ... (Grothendieck) categories, answering a question of Simson [ 43]. ...... A pair (C, D) of additive categories is called a Morita pair if there exists an .
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Morita equivalence for convolution categories - University of Oregon
We work in the setting of perfect stacks X and their stable ∞-categories Q(X) of quasicoher- ... or for π proper and surjective and X, Y smooth (as an application of proper descent ... canonically self-dual as a Q(Y )-module, and there are canonical .... an important instance: the Grothendieck-Springer simultaneous resolution.
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Modules over formal matrix rings | SpringerLink
F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Springer, New .... K. Morita, “Duality for modules and its applications to the theory of rings with ... S. K. Nauman, “Morita similar matrix rings and their Grothendieck groups,” ...
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HIGHER NONUNITAL QUILLEN K - Fakultät für Mathematik
We show that the KQ-theory is Morita invariant and satisfies excision connectively , ... algebras and some other potential applications to topological field theories are discussed ... -algebra, (bivariant) K-theory, differential graded category, T- duality. ... algebra to its homotopy perfect DG category, which is closely related to the ...
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