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Model Theory of Modules, Algebras and Categories, Alberto Facchini, Lorna Gregory, Sonia L`Innocente, Marcus Tressl


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Автор: Alberto Facchini, Lorna Gregory, Sonia L`Innocente, Marcus Tressl
Название:  Model Theory of Modules, Algebras and Categories
ISBN: 9781470443672
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470443678
Обложка/Формат: Paperback
Страницы: 237
Вес: 0.55 кг.
Дата издания: 30.07.2019
Серия: Contemporary mathematics
Язык: English
Размер: H 254 X W 178
Ключевые слова: Algebraic geometry,Algebra,Mathematical foundations
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Поставляется из: Англии
Описание: 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.
Дополнительное описание: Algebra|Algebraic geometry|Mathematical foundations


Categories for the Working Mathematician

Автор: Mac Lane
Название: Categories for the Working Mathematician
ISBN: 0387984038 ISBN-13(EAN): 9780387984032
Издательство: Springer
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Цена: 52130.00 T
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Описание: This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

The Homotopy theory of (?,1)-categories

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.

Categories of Boolean Sheaves of Simple Algebras

Автор: Yves Diers
Название: Categories of Boolean Sheaves of Simple Algebras
ISBN: 3540164596 ISBN-13(EAN): 9783540164593
Издательство: Springer
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Цена: 23250.00 T
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Automata and Algebras in Categories

Автор: Jir? Ad?mek; Vera Trnkov?
Название: Automata and Algebras in Categories
ISBN: 0792300106 ISBN-13(EAN): 9780792300106
Издательство: Springer
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Цена: 102480.00 T
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Tensor Categories and Hopf Algebras

Автор: Nicolas Andruskiewitsch, Dmitri Nikshych
Название: Tensor Categories and Hopf Algebras
ISBN: 147044321X ISBN-13(EAN): 9781470443214
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada.Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.

Semilocal Categories and Modules with Semilocal Endomorphism Rings

Автор: Alberto Facchini
Название: Semilocal Categories and Modules with Semilocal Endomorphism Rings
ISBN: 3030232832 ISBN-13(EAN): 9783030232832
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.

Rings and Categories of Modules

Автор: Frank W. Anderson; Kent R. Fuller
Название: Rings and Categories of Modules
ISBN: 1461287634 ISBN-13(EAN): 9781461287636
Издательство: Springer
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Цена: 65170.00 T
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Описание: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses.

Tensor Categories

Автор: Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik
Название: Tensor Categories
ISBN: 1470434415 ISBN-13(EAN): 9781470434410
Издательство: Mare Nostrum (Eurospan)
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Цена: 64680.00 T
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Описание: Is there a vector space whose dimension is the golden ratio? Of course not-the golden ratio is not an integer! But this can happen for generalizations of vector spaces-objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

Categories, Bundles and Spacetime Topology

Автор: C.T. Dodson
Название: Categories, Bundles and Spacetime Topology
ISBN: 9027727716 ISBN-13(EAN): 9789027727718
Издательство: Springer
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Цена: 88500.00 T
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Описание: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown'The point of a Pin'. van Gulik's TheChinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Higher Categories and Homotopical Algebra

Автор: Denis-Charles Cisinski
Название: Higher Categories and Homotopical Algebra
ISBN: 1108473202 ISBN-13(EAN): 9781108473200
Издательство: Cambridge Academ
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Цена: 67590.00 T
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Описание: This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applications in such areas as algebraic geometry, representation theory, algebra and logic.

Monoidal Categories and Topological Field Theory

Автор: Vladimir Turaev; Alexis Virelizier
Название: Monoidal Categories and Topological Field Theory
ISBN: 3319498339 ISBN-13(EAN): 9783319498331
Издательство: Springer
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Цена: 130430.00 T
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Описание:

This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research.

Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of M ger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category.

The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.


Superschool on Derived Categories and D-branes

Автор: Ballard
Название: Superschool on Derived Categories and D-branes
ISBN: 3319916254 ISBN-13(EAN): 9783319916255
Издательство: Springer
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Цена: 167700.00 T
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Описание: Abelian and Triangulated Categories (C. Hanratty).- Derived Categories and Derived Functors (N.K. Chidambaram).- Introduction to Quivers (M. Chinen).- Semi-orthogonal Decompositions of Derived Categories (Y. Liu).- Introduction to Bridgeland Stability Conditions (R. Tramel).- A Brief Introduction to Geometric Invariant Theory (N. Grieve).- Birational Geometry and Derived Categories (C. Diemer).- Introduction to Mirror Symmetry (R. Hughes).- Batyrev Mirror Symmetry (M. Talpo).- Differential Graded Categories (A.A. Takeda).- Introduction to Symplectic Geometry and Fukaya Category (A.Z. Zhang).- Homological Mirror Symmetry (A. Harder).- The Syz Conjecture Via Homological Mirror Symmetry (D. Bejleri).- The Derived Category of Coherent Sheaves and B-model Topological String Theory (S. Pietromonaco).- Introduction to Topological String Theories (K. Osuga).- An Overview of B-branes in Gauged Linear Sigma Models (N. Ishtiaque).


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