?tudes sur les Groupes Ab?liens / Studies on Abelian Groups, Bernard Charles
Автор: Fuchs Lбszlу Название: Abelian Groups ISBN: 3319194216 ISBN-13(EAN): 9783319194219 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by one of the subject`s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist.
Описание: Presents an exposition of connections between representations of finite partially ordered sets and abelian groups. This title emphasises on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible.
Автор: Ghys; da la Harpe Название: Sur les Groupes Hyperboliques d`apr?s Mikhael Gromov ISBN: 0817635084 ISBN-13(EAN): 9780817635084 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: - Qa faut avouer, dit Trouscaillon qui, dans cette simple ellipse, utilisait hyperboliquement Ie cercle vicieux de la parabole. - Bun, dit Ie Sanctimontronais, j'y vais. (R. Queneau, Zazie dans Ie metru, Chapitre X.) L'etude des groupes infinis a toujours ete en relation etroite avec des considerations geometriques: etude des deplacements de l'espace euclidien R3 (Jordan, 1868), programme d'Erlangen (Klein, 1872), travaux de Lie et Poincare. L'approche combinatoire des groupes, fondee sur la notion de presentation, remonte a Dyck (1882) mais doit son developpement en premier lieu a Dehn (des 1910) (voir ChM]). Les resultats decisifs de Dehn sur les groupes fondamentaux des sur- faces sont marques par un ingredient geometrique crucial qui est la couTbuTe negati-ve. C'est ce me-me ingredient qui est ala base du tra- vail fondamental de Gromov sur les groupes hyperboliques, conune on Ie voit esquisse dans Gr2, Gr4] et repris dans Gr5]. Nous sonuues cOllvaincus que l'importance de ce travail dans Ie developpement. de la theorie des groupes est comparable it ceux deja cites de Klein et Dehll.
Автор: Paul C. Eklof; R?diger G?bel Название: Abelian Groups and Modules ISBN: 3034875932 ISBN-13(EAN): 9783034875936 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A 30-article volume, introducing an active and attractive part of algebra that has gained much from its position at the crossroads of mathematics over the years. The papers stimulate the reader to consider and actively investigate the topics and problems they contain.
Автор: Bao Luong Название: Fourier Analysis on Finite Abelian Groups ISBN: 0817649158 ISBN-13(EAN): 9780817649159 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained overview examines the decomposition and analysis of functions within Fourier transforms and Abelian groups. Readers will learn the fundamentals, which are illustrated by examples and unique exercises at the end of each section.
Автор: Karl H. Hofmann; Eric C. Nummela; Paul S. Mostert Название: Cohomology Theories for Compact Abelian Groups ISBN: 3642806724 ISBN-13(EAN): 9783642806728 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo- metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com- pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian." Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.
Автор: Alberto Facchini; Claudia Menini Название: Abelian Groups and Modules ISBN: 9401041989 ISBN-13(EAN): 9789401041980 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: P.A. Krylov; Alexander V. Mikhalev; A.A. Tuganbaev Название: Endomorphism Rings of Abelian Groups ISBN: 9048163498 ISBN-13(EAN): 9789048163496 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor- phism rings of Abelian groups has become a rapidly developing area of algebra. On the one hand, it can be considered as a part of the theory of Abelian groups; on the other hand, the theory can be considered as a branch of the theory of endomorphism rings of modules and the representation theory of rings. There are several reasons for studying endomorphism rings of Abelian groups: first, it makes it possible to acquire additional information about Abelian groups themselves, to introduce new concepts and methods, and to find new interesting classes of groups; second, it stimulates further develop- ment of the theory of modules and their endomorphism rings. The theory of endomorphism rings can also be useful for studies of the structure of additive groups of rings, E-modules, and homological properties of Abelian groups. The books of Baer 52] and Kaplansky 245] have played an important role in the early development of the theory of endomorphism rings of Abelian groups and modules. Endomorphism rings of Abelian groups are much stu- died in monographs of Fuchs 170], 172], and 173]. Endomorphism rings are also studied in the works of Kurosh 287], Arnold 31], and Benabdallah 63].
Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.
Описание: He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals.
Автор: R. G?bel; C. Metelli; A. Orsatti; L. Salce Название: Abelian Groups and Modules ISBN: 3211818472 ISBN-13(EAN): 9783211818473 Издательство: Springer Рейтинг: Цена: 12157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
