

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 26, 1999 ISBN: 3540411097 ISBN13(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 26, 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 uptodate collection of surveys and original research articles by leading experts in the area. Купить
 

Автор: Mullen Gary L., Poli Alain, Stichtenoth Henning Название: Finite Fields and Applications / 7th International Conference, Fq7, Toulouse, France, May 59, 2003, Revised Papers ISBN: 3540213244 ISBN13(EAN): 9783540213246 Издательство: Springer Цена: 4078 р. Наличие на складе: Нет в наличии. Описание: This book constitutes the thoroughly refereed postproceedings 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. Купить
 

Автор: Jacobson Название: FiniteDimensional Division Algebras over Fields ISBN: 3540570292 ISBN13(EAN): 9783540570295 Издательство: Springer Цена: 6542 р. Наличие на складе: Нет в наличии. Описание: Finitedimensional division algebras over fields determine, by the Wedderburn Theorem, the semisimple finitedimensional 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. Купить
 

Автор: Lau Dietlinde Название: Function Algebras on Finite Sets / Basic Course on ManyValued Logic and Clone Theory ISBN: 3540360220 ISBN13(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 (socalled 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. Купить
 

Автор: BallesterBolinches Adolfo, Ezquerro Luis M. Название: Classes of Finite Groups ISBN: 1402047185 ISBN13(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 twentyfive 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. Купить
 

Автор: Bini Gilberto, Flamini Flaminio Название: Finite Commutative Rings and Their Applications ISBN: 140207039X ISBN13(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 selfcontained introduction to finite commutative local rings, focusing in particular on Galois and QuasiGalois 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 QuasiGalois 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. Купить
 

Автор: Ershov Yuri L. Название: MultiValued Fields ISBN: 0306110687 ISBN13(EAN): 9780306110689 Издательство: Springer Цена: 21483 р. Наличие на складе: Нет в наличии. Описание: For more than 30 years, the author has studied the modeltheoretic aspects of the theory of valued fields and multivalued 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 mutlivalued 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 modeltheoretic properties of multivalued fields with near Boolean families of valuation rings satisfying the localglobal 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 multivalued field and a criterion for the elementary equivalence for multivalued 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. Купить
 

Автор: Kurzweil Hans, Stellmacher Bernd Название: The Theory of Finite Groups / An Introduction ISBN: 0387405100 ISBN13(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) Купить
 

Автор: Rosen Michael Название: Number Theory in Function Fields ISBN: 0387953353 ISBN13(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 ABCconjecture, ArtinВїs conjecture on primitive roots, the BrumerStark conjecture, Drinfeld modules, class number formulae, and average value theorems. Купить
 

Автор: Puig Lluis Название: Blocks of Finite Groups / The Hyperfocal Subalgebra of a Block ISBN: 354043514X ISBN13(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 twosided ideal that also is a direct summand of kG determines a Gblock.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. Купить
 

Автор: Adelmann Clemens Название: The Decomposition of Primes in Torsion Point Fields ISBN: 3540420355 ISBN13(EAN): 9783540420354 Издательство: Springer Цена: 2692 р. Наличие на складе: Нет в наличии. Описание: We investigate the decomposition of prime ideals in nonabelian 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. Купить
 

Автор: Adem Alejandro, Milgram R. James Название: Cohomology of Finite Groups ISBN: 3540202838 ISBN13(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 Ktheory. 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. Купить
 
