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Hopf Algebras and Galois Module Theory, Alan Koch, Cornelius Greither, Kevin P. Keating, Lindsay N. Childs, Timothy Kohl


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Автор: Alan Koch, Cornelius Greither, Kevin P. Keating, Lindsay N. Childs, Timothy Kohl
Название:  Hopf Algebras and Galois Module Theory
ISBN: 9781470465162
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470465167
Обложка/Формат: Paperback
Страницы: 311
Вес: 0.57 кг.
Дата издания: 30.01.2022
Серия: Mathematical surveys and monographs
Язык: English
Размер: 181 x 255 x 25
Ключевые слова: Algebra,Algebraic geometry,Number theory
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Поставляется из: Англии
Описание: Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory and can be viewed as a sequel to the first authors book, Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, which was published in 2000.The book is divided into two parts. Part I is more algebraic and focuses on Hopf-Galois structures on Galois field extensions, as well as the connection between this topic and the theory of skew braces. Part II is more number theoretical and studies the application of Hopf algebras to questions of integral module structure in extensions of local or global fields.Graduate students and researchers with a general background in graduate-level algebra, algebraic number theory, and some familiarity with Hopf algebras will appreciate the overview of the current state of this exciting area and the suggestions for numerous avenues for further research and investigation.
Дополнительное описание: Algebra|Algebraic geometry|Number theory



Brauer Groups, Hopf Algebras and Galois Theory

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.

Автор: Futorny Vyacheslav, Ovsienko Serge
Название: Galois Algebras And Their Representations
ISBN: 9814299227 ISBN-13(EAN): 9789814299220
Издательство: World Scientific Publishing
Цена: 11246.00 р.
Наличие на складе: Поставка под заказ.

Описание: The book provides a comprehensive overview of the theory of Galois algebras and their representations developed by the authors. It gives a unique treatment of the theory of Gelfand-Tsetlin modules for finite W-algebras, including the universal enveloping algebra of gl(n), a new treatment of an analog of the Gelfand-Kirillov Conjecture for finite W-algebras, and a description of important new theory of Galois algebras.The book will be of interests to those who specialize in Lie theory, Representation theory and Ring theory.

Galois Theory and Advanced Linear Algebra

Автор: Sinha Rajnikant
Название: Galois Theory and Advanced Linear Algebra
ISBN: 9811398488 ISBN-13(EAN): 9789811398483
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms.

Module Theory, Extending Modules and Generalizations

Автор: Tercan
Название: Module Theory, Extending Modules and Generalizations
ISBN: 3034809506 ISBN-13(EAN): 9783034809504
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature.With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area.Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.

Galois Representations and (Phi, Gamma)-Modules

Автор: Peter Schneider
Название: Galois Representations and (Phi, Gamma)-Modules
ISBN: 110718858X ISBN-13(EAN): 9781107188587
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.

Central Simple Algebras and Galois Cohomology

Автор: Philippe Gille, Tamas Szamuely
Название: Central Simple Algebras and Galois Cohomology
ISBN: 1107156378 ISBN-13(EAN): 9781107156371
Издательство: Cambridge Academ
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Цена: 12197.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

Central simple algebras and galois cohomology

Автор: Gille, Philippe Szamuely, Tamas
Название: Central simple algebras and galois cohomology
ISBN: 131660988X ISBN-13(EAN): 9781316609880
Издательство: Cambridge Academ
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Цена: 7128.00 р.
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Описание: The first comprehensive, modern introduction to a central field in modern algebra with connections to algebraic geometry, K-theory, and number theory. It proceeds from the basics to more advanced results, including the Merkurjev-Suslin theorem. It is ideal as a text for a graduate course and as a reference for researchers.

Algebra and Galois Theories

Автор: Douady Rйgine, Douady Adrien
Название: Algebra and Galois Theories
ISBN: 3030327957 ISBN-13(EAN): 9783030327958
Издательство: Springer
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Цена: 7965.00 р.
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Описание: Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings".

Lattice Concepts of Module Theory

Автор: Grigore Calugareanu
Название: Lattice Concepts of Module Theory
ISBN: 9048155304 ISBN-13(EAN): 9789048155309
Издательство: Springer
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Цена: 12157.00 р.
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Описание: It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring is best understood in terms of the lattice struc- ture of its submodule lattice. Citing Louis H. Rowen "this important example (the lattice of all the submodules of a module) is the raison d'etre for the study of lattice theory by ring theorists." Indeed, many module-theoretic results can be proved by using lattice theory alone. The purpose of this book is to collect and present all and only the results of this kind, although for this purpose one must develop some significant lattice theory. The results in this book are of the following categories: the folklore of Lattice Theory (to be found in each Lattice Theory book), module- theoretic results generalized in (modular, and possibly compactly gen- erated) lattices (to be found in some 6 to 7 books published in the last 20 years), very special module-theoretic results generalized in lattices (e. g., purity in Chapter 9 and several dimensions in Chapter 13, to be found mostly in 27], respectively, 34] and 18]) and some new con- cepts (e. g.

Galois theory

Автор: Stewart, Ian (university Of Warwick, Uk)
Название: Galois theory
ISBN: 103210158X ISBN-13(EAN): 9781032101583
Издательство: Taylor&Francis
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Цена: 8114.00 р.
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Описание: Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fifth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today`s algebra students.

Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography

Автор: Celine Carstensen-Opitz, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger
Название: Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography
ISBN: 3110603934 ISBN-13(EAN): 9783110603934
Издательство: Walter de Gruyter
Цена: 9288.00 р.
Наличие на складе: Нет в наличии.

Описание: A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.

Galois theory, coverings, and riemann surfaces

Автор: Khovanskii, Askold
Название: Galois theory, coverings, and riemann surfaces
ISBN: 364238840X ISBN-13(EAN): 9783642388408
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Galois Theory, Coverings, and Riemann Surfaces


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