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Finite Fields, Lidl

Finite Fields

Автор: Lidl
Название:  Finite Fields   (Конечные области)
Издательство: Cambridge Academ
Классификация:
Алгебра

ISBN: 0521065674
ISBN-13(EAN): 9780521065672
ISBN: 0-521-06567-4
ISBN-13(EAN): 978-0-521-06567-2
Обложка/Формат: Paperback
Страницы: 772
Вес: 1.074 кг.
Дата издания: 19.06.2008
Серия: Algebra
Язык: ENG
Издание: 2 rev ed
Размер: 15.60 x 23.39 x 3.81 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Поставляется из: Англии
Описание: This book is devoted entirely to the theory of finite fields.

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Finite Fields and Applications / Proceedings of The Fifth International Conference on Finite Fields and Applications Fq5, held at the University of Augsburg, Germany, August 2-6, 1999

Автор: Jungnickel Dieter, Niederreiter H.
Название: Finite Fields and Applications / Proceedings of The Fifth International Conference on Finite Fields and Applications Fq5, held at the University of Augsburg, Germany, August 2-6, 1999
ISBN: 3540411097 ISBN-13(EAN): 9783540411093
Издательство: Springer
Цена: 10392 р.
Наличие на складе: Нет в наличии.
Описание: The Fifth International Conference on Finite Fields and Applications Fq5 held at the University of Augsburg, Germany, from August 2-6, 1999 continued a series of biennial international conferences on finite fields. The proceedings document the steadily increasing interest in this topic. Finite fields have an inherently fascinating structure and are important tools in discrete mathematics. Their applications range from combinatorial design theory, finite geometries, and algebraic geometry to coding theory, cryptology, and scientific computing. A particularly fruitful aspect is the interplay between theory and applications which has led to many new perspectives in research on finite fields. This interplay has always been a dominant theme in Fq conferences and was very much in evidence at Fq5. The proceedings reflect this, and offer an up-to-date collection of surveys and original research articles by leading experts in the area.
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Finite Fields and Applications / 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers

Автор: Mullen Gary L., Poli Alain, Stichtenoth Henning
Название: Finite Fields and Applications / 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003, Revised Papers
ISBN: 3540213244 ISBN-13(EAN): 9783540213246
Издательство: Springer
Цена: 4078 р.
Наличие на складе: Нет в наличии.
Описание: This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004.The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions.
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Finite-Dimensional Division Algebras over Fields

Автор: Jacobson
Название: Finite-Dimensional Division Algebras over Fields
ISBN: 3540570292 ISBN-13(EAN): 9783540570295
Издательство: Springer
Цена: 6542 р.
Наличие на складе: Нет в наличии.
Описание: Finite-dimensional division algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensional algebras over a field. This text concentrates on those algebras that have an involution. It includes coverage of involutorial simple algebras of finite dimension over a field.
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Function Algebras on Finite Sets / Basic Course on Many-Valued Logic and Clone Theory

Автор: Lau Dietlinde
Название: Function Algebras on Finite Sets / Basic Course on Many-Valued Logic and Clone Theory
ISBN: 3540360220 ISBN-13(EAN): 9783540360223
Издательство: Springer
Цена: 10009 р.
Наличие на складе: Нет в наличии.
Описание: Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied.This book is an insdispensible source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.
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Classes of Finite Groups

Автор: Ballester-Bolinches Adolfo, Ezquerro Luis M.
Название: Classes of Finite Groups
ISBN: 1402047185 ISBN-13(EAN): 9781402047183
Издательство: Springer
Цена: 7699 р.
Наличие на складе: Нет в наличии.
Описание: Many group theorists all over the world have been trying in the last twenty-five years to extend and adapt the magnificent methods of the Theory of Finite Soluble Groups to the more ambitious universe of all finite groups. This is a natural progression after the classification of finite simple groups but the achievements in this area are scattered in various papers. Our objectives in this book were to gather, order and examine all this material, including the latest advances made, give a new approach to some classic topics, shed light on some fundamental facts that still remain unpublished and present some new subjects of research in the theory of classes of finite, not necessarily solvable, groups.
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Finite Commutative Rings and Their Applications

Автор: Bini Gilberto, Flamini Flaminio
Название: Finite Commutative Rings and Their Applications
ISBN: 140207039X ISBN-13(EAN): 9781402070396
Издательство: Springer
Цена: 12702 р.
Наличие на складе: Нет в наличии.
Описание: Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background. This text is suitable for courses in commutative algebra, finite commutative algebra, and coding theory. It is also suitable as a supplementary text for courses in discrete mathematics, finite fields, finite rings, etc.
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Multi-Valued Fields

Автор: Ershov Yuri L.
Название: Multi-Valued Fields
ISBN: 0306110687 ISBN-13(EAN): 9780306110689
Издательство: Springer
Цена: 21483 р.
Наличие на складе: Нет в наличии.
Описание: For more than 30 years, the author has studied the model-theoretic aspects of the theory of valued fields and multi-valued fields. Many of the key results included in this book were obtained by the author whilst preparing the manuscript. Thus the unique overview of the theory, as developed in the book, has been previously unavailable. The book deals with the theory of valued fields and mutli-valued fields. The theory of PrГјfer rings is discussed from the `geometric' point of view. The author shows that by introducing the Zariski topology on families of valuation rings, it is possible to distinguish two important subfamilies of PrГјfer rings that correspond to Boolean and near Boolean families of valuation rings. Also, algebraic and model-theoretic properties of multi-valued fields with near Boolean families of valuation rings satisfying the local-global principle are studied. It is important that this principle is elementary, i.e., it can be expressed in the language of predicate calculus. The most important results obtained in the book include a criterion for the elementarity of an embedding of a multi-valued field and a criterion for the elementary equivalence for multi-valued fields from the class defined by the additional natural elementary conditions (absolute unramification, maximality and almost continuity of local elementary properties). The book concludes with a brief chapter discussing the bibliographic references available on the material presented, and a short history of the major developments within the field.
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The Theory of Finite Groups / An Introduction

Автор: Kurzweil Hans, Stellmacher Bernd
Название: The Theory of Finite Groups / An Introduction
ISBN: 0387405100 ISBN-13(EAN): 9780387405100
Издательство: Springer
Цена: 4617 р.
Наличие на складе: Нет в наличии.
Описание: From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions. One who completes this text not only gains an appreciation of both the depth and the breadth of the theory of finite groups, but also witnesses the evolutionary development of concepts that form a basis for current investigations. This is accomplished by providing a thread that permits a natural flow from one concept to another rather than compartmentalizing. Operators on sets and groups are introduced early and used effectively throughout. The bibliography provides excellent supplemental support...The text is tight; there is no fluff. The format builds on concepts essential for later expansion and associated reading. On occasion, results are stated without proof; continuity is maintained. Several proofs are provided free of representation theory on which the originals were based. More generally the proofs are direct, perhaps at times brief. The focus is on the underlying structural components, with selected details left to the reader. As a result the reader develops the maturity required for approaching the literature with confidence. The first eight chapters have an abundance of exercises, not prorated, and some of the more challenging are addressed later in the text. Due to the nature of the material, fewer exercises appear in the remaining chapters." (H. Bechtell, Mathematical Reviews)
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Number Theory in Function Fields

Автор: Rosen Michael
Название: Number Theory in Function Fields
ISBN: 0387953353 ISBN-13(EAN): 9780387953359
Издательство: Springer
Цена: 2846 р.
Наличие на складе: Нет в наличии.
Описание: Elementary number theory is concerned with arithmetic properties of the ring of integers. Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting, for example, analogues of the theorems of Fermat and Euler, WilsonВїs theorem, quadratic (and higher) reciprocity, the prime number theorem, and DirichletВїs theorem on primes in an arithmetic progression. After presenting the required foundational material on function fields, the later chapters explore the analogy between global function fields and algebraic number fields. A variety of topics are presented, including: the ABC-conjecture, ArtinВїs conjecture on primitive roots, the Brumer-Stark conjecture, Drinfeld modules, class number formulae, and average value theorems.
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Blocks of Finite Groups / The Hyperfocal Subalgebra of a Block

Автор: Puig Lluis
Название: Blocks of Finite Groups / The Hyperfocal Subalgebra of a Block
ISBN: 354043514X ISBN-13(EAN): 9783540435143
Издательство: Springer
Цена: 5926 р.
Наличие на складе: Нет в наличии.
Описание: About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable two-sided ideal that also is a direct summand of kG determines a G-block.But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a "common block"; i.e., blocks having mutually isomorphic "source algebras".In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the "hyperfocal subalgebra" in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary.The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia.
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The Decomposition of Primes in Torsion Point Fields

Автор: Adelmann Clemens
Название: The Decomposition of Primes in Torsion Point Fields
ISBN: 3540420355 ISBN-13(EAN): 9783540420354
Издательство: Springer
Цена: 2692 р.
Наличие на складе: Нет в наличии.
Описание: We investigate the decomposition of prime ideals in non-abelian extensions of number fields. These fields are generated by the coordinates of torsion points of elliptic curves without complex multiplications. We explain the necessary prerequisites from the theory of elliptic curves, modular forms, algebraic number theory, and invariant theory. Due to the complexity of the problem, complete results are restricted to torsion points of low order. These results are complemented by computational data which also cover some unsolved cases.
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Cohomology of Finite Groups

Автор: Adem Alejandro, Milgram R. James
Название: Cohomology of Finite Groups
ISBN: 3540202838 ISBN-13(EAN): 9783540202837
Издательство: Springer
Цена: 8082 р.
Наличие на складе: Нет в наличии.
Описание: The cohomology of groups has been the stage for significant interaction between algebra and topology, leading to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups.The 2nd edition contains many more cohomology calculations for the sporadic groups, obtained by the authors and their collaborators over the past decade. Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged.
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