Model Theory of Modules, Algebras and Categories, Alberto Facchini, Lorna Gregory, Sonia L`Innocente, Marcus Tressl
Автор: Mac Lane Название: Categories for the Working Mathematician ISBN: 0387984038 ISBN-13(EAN): 9780387984032 Издательство: Springer Рейтинг: Цена: 7819.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Bergner, Julia E. (university Of Virginia) Название: The Homotopy theory of (?,1)-categories ISBN: 110749902X ISBN-13(EAN): 9781107499027 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Nicolas Andruskiewitsch, Dmitri Nikshych Название: Tensor Categories and Hopf Algebras ISBN: 147044321X ISBN-13(EAN): 9781470443214 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 16302.00 р. Наличие на складе: Нет в наличии.
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.
Автор: Yves Diers Название: Categories of Boolean Sheaves of Simple Algebras ISBN: 3540164596 ISBN-13(EAN): 9783540164593 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Jir? Ad?mek; Vera Trnkov? Название: Automata and Algebras in Categories ISBN: 0792300106 ISBN-13(EAN): 9780792300106 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Frank W. Anderson; Kent R. Fuller Название: Rings and Categories of Modules ISBN: 0387978453 ISBN-13(EAN): 9780387978451 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an account of much of the theory of rings and modules. This book provides the basic definitions and properties of rings, modules and homomorphisms. It offers comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, and Morita equivalence and duality.
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.
Автор: Frank W. Anderson; Kent R. Fuller Название: Rings and Categories of Modules ISBN: 1461287634 ISBN-13(EAN): 9781461287636 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: C.T. Dodson Название: Categories, Bundles and Spacetime Topology ISBN: 9027727716 ISBN-13(EAN): 9789027727718 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Denis-Charles Cisinski Название: Higher Categories and Homotopical Algebra ISBN: 1108473202 ISBN-13(EAN): 9781108473200 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Vladimir Turaev; Alexis Virelizier Название: Monoidal Categories and Topological Field Theory ISBN: 3319498339 ISBN-13(EAN): 9783319498331 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Ballard Название: Superschool on Derived Categories and D-branes ISBN: 3319916254 ISBN-13(EAN): 9783319916255 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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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