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Categories and Representation Theory: With a Focus on 2-Categorical Covering Theory, Hideto Asashiba


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Автор: Hideto Asashiba
Название:  Categories and Representation Theory: With a Focus on 2-Categorical Covering Theory
ISBN: 9781470464844
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470464845
Обложка/Формат: Paperback
Страницы: 250
Вес: 0.47 кг.
Дата издания: 30.12.2022
Серия: Mathematical surveys and monographs
Язык: English
Размер: 182 x 257 x 24
Ключевые слова: Algebra,Algebraic geometry
Подзаголовок: With a focus on 2-categorical covering theory
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Поставляется из: Англии
Описание: This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory.The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.
Дополнительное описание: Algebra|Algebraic geometry



Goguen Categories

Автор: Michael Winter
Название: Goguen Categories
ISBN: 9048175542 ISBN-13(EAN): 9789048175543
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices, this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures.

Categorical Logic and Type Theory,141

Автор: B. Jacobs
Название: Categorical Logic and Type Theory,141
ISBN: 0444508538 ISBN-13(EAN): 9780444508539
Издательство: Elsevier Science
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Цена: 16675.00 р.
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Описание: Attempts to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. This book is useful for logicians, type theorists, category theorists and (theoretical) computer scientists.

Abstract Calculus: A Categorical Approach

Автор: Garcia-Pacheco Francisco Javier
Название: Abstract Calculus: A Categorical Approach
ISBN: 036776220X ISBN-13(EAN): 9780367762209
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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Описание: Any calculus text for undergraduate students majoring in Engineering, Mathematics or Physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics but from a categorical perspective.

Applied Multivariate Data Analysis

Автор: J.D. Jobson
Название: Applied Multivariate Data Analysis
ISBN: 1461269474 ISBN-13(EAN): 9781461269472
Издательство: Springer
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Цена: 13974.00 р.
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Описание: A Second Course in Statistics The past decade has seen a tremendous increase in the use of statistical data analysis and in the availability of both computers and statistical software.

Categorical, Homological and Combinatorial Methods in Algebra

Автор: Andre Leroy, Ashish K. Srivastava, Ivo Herzog, Pedro A. Guil Asensio
Название: Categorical, Homological and Combinatorial Methods in Algebra
ISBN: 1470443686 ISBN-13(EAN): 9781470443689
Издательство: Mare Nostrum (Eurospan)
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Цена: 16909.00 р.
Наличие на складе: Нет в наличии.

Описание: Contains the proceedings of the AMS Special Session, in honour of S.K. Jain`s 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held in March 12018, at Ohio State University. The articles presented showcase the current state of art in categorical, homological and combinatorial aspects of algebra.

Proceedings of the Conference on Categorical Algebra

Автор: S. Eilenberg; D. K. Harrison; H. R?hrl; S. MacLane
Название: Proceedings of the Conference on Categorical Algebra
ISBN: 3642999042 ISBN-13(EAN): 9783642999048
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This volume contains the articles contributed to the Conference on Categorical Algebra, held June 7-12,1965, at the San Diego campus of the University of California under the sponsorship of the United States Air Force Office of Scientific Research.

Seminar on Triples and Categorical Homology Theory

Автор: B. Eckmann; H. Appelgate; M. Barr; J. Beck; F. W.
Название: Seminar on Triples and Categorical Homology Theory
ISBN: 3540046011 ISBN-13(EAN): 9783540046011
Издательство: Springer
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Цена: 5583.00 р.
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Quasi-Hopf Algebras: A Categorical Approach

Автор: Daniel Bulacu, Stefaan Caenepeel, Florin Panaite, Freddy Van Oystaeyen
Название: Quasi-Hopf Algebras: A Categorical Approach
ISBN: 1108427014 ISBN-13(EAN): 9781108427012
Издательство: Cambridge Academ
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Цена: 21384.00 р.
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Описание: This self-contained book is the first to be dedicated entirely to Drinfeld`s quasi-Hopf algebras, from the basics to the state of the art. It includes a detailed introduction to (braided) monoidal categories, the main tool used to study quasi-Hopf algebras. It is ideal for graduate students and researchers in mathematics and mathematical physics.

Sheaves, Games, and Model Completions

Автор: Silvio Ghilardi; M. Zawadowski
Название: Sheaves, Games, and Model Completions
ISBN: 9048160367 ISBN-13(EAN): 9789048160365
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book is an example of fruitful interaction between (non-classical) propo- sitionallogics and (classical) model theory which was made possible due to categorical logic.

Categorical Algebra and its Applications

Автор: Francis Borceux
Название: Categorical Algebra and its Applications
ISBN: 3540503625 ISBN-13(EAN): 9783540503620
Издательство: Springer
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Цена: 5583.00 р.
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Описание: Categorical algebra and its applications contain several fundamental papers on general category theory, and many papers on the applications of category theory in functional analysis, algebraic topology, and algebraic geometry. This volume illustrates the usefulness of category theory as a powerful tool of investigation in many other areas.

Categorical Perspectives

Автор: J?rgen Koslowski; Austin Melton
Название: Categorical Perspectives
ISBN: 1461271177 ISBN-13(EAN): 9781461271178
Издательство: Springer
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Цена: 13974.00 р.
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Описание: "Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. Bentley * G. Castellini * R. El Bashir * H. Husek * L. Melton * G. Schroeder * L. Strecker * A.

Categorical Decomposition Techniques in Algebraic Topology

Автор: Gregory Arone; John Hubbuck; Ran Levi; Michael Wei
Название: Categorical Decomposition Techniques in Algebraic Topology
ISBN: 3034896018 ISBN-13(EAN): 9783034896016
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The book consists of articles at the frontier of current research in Algebraic Topology.


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