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Automorphisms and Derivations of Associative Rings, V. Kharchenko


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Автор: V. Kharchenko
Название:  Automorphisms and Derivations of Associative Rings
ISBN: 9780792313823
Издательство: Springer
Классификация:
ISBN-10: 0792313828
Обложка/Формат: Hardcover
Страницы: 385
Вес: 0.74 кг.
Дата издания: 31.10.1991
Серия: Mathematics and its Applications
Язык: English
Размер: 234 x 156 x 24
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The theory of automorphisms and derivations of associative rings is a direct descendant of the development of classical Galois theory. This volume presents an overview of the methods and results of that theory. It also discusses non-commutative invariants of linear groups; theorems of finite groups acting on modular lattices; and more.


Algorithmic and Geometric Topics Around Free Groups and Automorphisms

Автор: Javier Aramayona; Volker Diekert; Christopher J. L
Название: Algorithmic and Geometric Topics Around Free Groups and Automorphisms
ISBN: 3319609394 ISBN-13(EAN): 9783319609393
Издательство: Springer
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Цена: 3492.00 р.
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Описание:

This volume presents the lecture notes from the authors' three summer courses offered during the program "Automorphisms of Free Groups: Geometry, Topology, and Dynamics," held at the Centre de Recerca Matem tica (CRM) in Bellaterra, Spain.

The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon's construction of Thurston's compactification of Teichm ller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.

Non-Associative Normed Algebras

Автор: Cabrera Garc?a
Название: Non-Associative Normed Algebras
ISBN: 1107043069 ISBN-13(EAN): 9781107043060
Издательство: Cambridge Academ
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Цена: 27878.00 р.
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Описание: The first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume of two focuses on C*-algebras and related structure.

Non-Associative and Non-Commutative Algebra and Operator Theory

Автор: Gueye
Название: Non-Associative and Non-Commutative Algebra and Operator Theory
ISBN: 3319329006 ISBN-13(EAN): 9783319329000
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Presenting the collaborations of over thirtyinternational experts in the latest developments in pure andapplied mathematics, this volume serves as an anthology of research with acommon basis in algebra, functional analysis and their applications.Special attention is devoted to non-commutative algebras, non-associativealgebras, operator theory and ring and module theory. These themes arerelevant in research and development in coding theory, cryptography and quantummechanics. The topics in this volume were presented at the Workshop on Non-Associative& Non-Commutative Algebra and Operator Theory, held May23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honorof Professor Amin Kaidi. The workshop was hosted by theuniversity's Laboratory of Algebra,Cryptology, Algebraic Geometry and Applications, in cooperation withthe University of Almer?a and the University of M?laga. Dr.Kaidi's work focuses on non-associative rings and algebras, operator theory andfunctional analysis, and he has served as a mentor to a generation ofmathematicians in Senegal and around the world.

Algebraic Theory of Locally Nilpotent Derivations

Автор: Gene Freudenburg
Название: Algebraic Theory of Locally Nilpotent Derivations
ISBN: 3642067328 ISBN-13(EAN): 9783642067327
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Invariant Theory and Algebraic Transformation Groups VII

Hasse-Schmidt Derivations on Grassmann Algebras

Автор: Gatto
Название: Hasse-Schmidt Derivations on Grassmann Algebras
ISBN: 3319318411 ISBN-13(EAN): 9783319318417
Издательство: Springer
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Цена: 10760.00 р.
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Описание: This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools (Giambelli's formula). Significant emphasis is placed on the characterization of decomposable tensors of an exterior power of a free abelian group of possibly infinite rank, which then leads to the celebrated Hirota bilinear form of the Kadomtsev-Petviashvili (KP) hierarchy describing the Pl?cker embedding of an infinite-dimensional Grassmannian. By gathering ostensibly disparate issues together under a unified perspective, the book reveals how even the most advanced topics can be discovered at the elementary level.


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