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Purity Spectra And Localisation


Purity Spectra And Localisation
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Purity Spectra And Localisation


Purity Spectra And Localisation
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Author : Mike Prest
language : en
Publisher: Cambridge University Press
Release Date : 2009-06-04

Purity Spectra And Localisation written by Mike Prest and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-04 with Mathematics categories.


A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum. It may be used as an introductory graduate-level text, providing relevant background material and a wealth of illustrated examples. An extensive index and thorough referencing also make this book an ideal reference.



Purity Spectra And Localisation


Purity Spectra And Localisation
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Author : Mike Prest
language : en
Publisher:
Release Date : 2014-05-14

Purity Spectra And Localisation written by Mike Prest and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.


A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum.



Definable Additive Categories Purity And Model Theory


Definable Additive Categories Purity And Model Theory
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Author : Mike Prest
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-02-07

Definable Additive Categories Purity And Model Theory written by Mike Prest and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-07 with Mathematics categories.


Most of the model theory of modules works, with only minor modifications, in much more general additive contexts (such as functor categories, categories of comodules, categories of sheaves). Furthermore, even within a given category of modules, many subcategories form a ``self-sufficient'' context in which the model theory may be developed without reference to the larger category of modules. The notion of a definable additive category covers all these contexts. The (imaginaries) language which one uses for model theory in a definable additive category can be obtained from the category (of structures and homomorphisms) itself, namely, as the category of those functors to the category of abelian groups which commute with products and direct limits. Dually, the objects of the definable category--the modules (or functors, or comodules, or sheaves)--to which that model theory applies may be recovered as the exact functors from the, small abelian, category (the category of pp-imaginaries) which underlies that language.



Surveys In Representation Theory Of Algebras


Surveys In Representation Theory Of Algebras
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Author : Alex Martsinkovsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-09-12

Surveys In Representation Theory Of Algebras written by Alex Martsinkovsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-12 with Mathematics categories.


This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.



Categorical Homological And Combinatorial Methods In Algebra


Categorical Homological And Combinatorial Methods In Algebra
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Author : Ashish K. Srivastava
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-06-23

Categorical Homological And Combinatorial Methods In Algebra written by Ashish K. Srivastava and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-23 with Education categories.


This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.



Functor Categories Model Theory Algebraic Analysis And Constructive Methods


Functor Categories Model Theory Algebraic Analysis And Constructive Methods
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Author : Alexander Martsinkovsky
language : en
Publisher: Springer Nature
Release Date : 2024-05-04

Functor Categories Model Theory Algebraic Analysis And Constructive Methods written by Alexander Martsinkovsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-04 with Mathematics categories.


This volume comprises selected contributions by the participants of the second "Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods" conference, which took place at the University of Almería, Spain, in July 2022. The conference was devoted to several seemingly unrelated fields: functor categories, model theory of modules, algebraic analysis (including linear control systems), and constructive category theory, to mention just a few. The fact that these fields are actually related is a very recent realization. The connections between these disciplines are changing in real time, and the goal of this volume is to provide an initial reference point for this emerging interdisciplinary field. Besides research articles, the volume includes two extended lectures: one on constructive methods in algebraic analysis and the other on the functorial approach to algebraic systems theory. Hence, in addition to its interestfor researchers, the volume will also be an invaluable resource for newcomers.



Models Logics And Higher Dimensional Categories


Models Logics And Higher Dimensional Categories
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Author : Bradd T. Hart
language : en
Publisher: American Mathematical Soc.
Release Date :

Models Logics And Higher Dimensional Categories written by Bradd T. Hart and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.



Ring Theory And Its Applications


Ring Theory And Its Applications
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Author : Dinh Van Huynh
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-02-21

Ring Theory And Its Applications written by Dinh Van Huynh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-21 with Mathematics categories.


This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.



Model Theory Of Modules Algebras And Categories


Model Theory Of Modules Algebras And Categories
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Author : Alberto Facchini
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-05-31

Model Theory Of Modules Algebras And Categories written by Alberto Facchini and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Mathematics categories.


This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.



Spectral Spaces


Spectral Spaces
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Author : Max Dickmann
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-21

Spectral Spaces written by Max Dickmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Mathematics categories.


Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.