Commutative Rings whose Finitely Generated Modules Decompose, W. Brandal
Автор: Schaefer Название: Sociology In Modules 3 edition ISBN: 1259254461 ISBN-13(EAN): 9781259254468 Издательство: McGraw-Hill Рейтинг: Цена: 22290.00 T Наличие на складе: Есть Описание: Adapts to the classroom and students by utilizing a flexible teaching format. This book allows instructors to choose the content they know and trust and present it in a layout that students can manage. It helps students in enhancing the understanding of the topics and developing their sociological imagination.
Автор: H. Marubayashi; Haruo Miyamoto; Akira Ueda Название: Non-Commutative Valuation Rings and Semi-Hereditary Orders ISBN: 0792345622 ISBN-13(EAN): 9780792345626 Издательство: Springer Рейтинг: Цена: 125730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A summary of non-Noetherian orders in a simple Artinian ring. This book covers Dubrovin valuation rings and semi-hereditary orders, including Prufer and semi-local Bezout orders, which are considered, in a sense, as global theories of Dubrovin valuation rings.
Автор: Frank De Meyer; Edward Ingraham Название: Separable Algebras over Commutative Rings ISBN: 3540053719 ISBN-13(EAN): 9783540053712 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Sarah Glaz Название: Commutative Coherent Rings ISBN: 3540511156 ISBN-13(EAN): 9783540511151 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Offers a systematic treatment of the theory of commutative coherent rings. Starting with elementary results, this book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings.
Автор: H. Marubayashi; Haruo Miyamoto; Akira Ueda Название: Non-Commutative Valuation Rings and Semi-Hereditary Orders ISBN: 9048148537 ISBN-13(EAN): 9789048148530 Издательство: Springer Рейтинг: Цена: 125730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Much progress has been made during the last decade on the subjects of non- commutative valuation rings, and of semi-hereditary and Priifer orders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu- tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings were first treat- ed systematically in Schilling's Book Sc], which are nowadays called invariant valuation rings, though invariant valuation rings can be traced back to Hasse's work in Has]. Since then, various attempts have been made to study the ideal theory of orders in finite dimensional algebras over fields and to describe the Brauer groups of fields by usage of "valuations," "places," "preplaces," "value functions" and "pseudoplaces." In 1984, N. 1. Dubrovin defined non-commutative valuation rings of simple Artinian rings with notion of places in the category of simple Artinian rings and obtained significant results on non-commutative valuation rings (named Dubrovin valuation rings after him) which signify that these rings may be the correct def- inition of valuation rings of simple Artinian rings. Dubrovin valuation rings of central simple algebras over fields are, however, not necessarily to be integral over their centers.
Автор: D. E. Dobbs Название: Cech Cohomological Dimensions for Commutative Rings ISBN: 3540049363 ISBN-13(EAN): 9783540049364 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Yengui, Ihsen Название: Constructive commutative algebra ISBN: 3319194933 ISBN-13(EAN): 9783319194936 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The main goal of this book is to find the constructive content hidden in abstract proofs of concrete theorems in Commutative Algebra, especially in well-known theorems concerning projective modules over polynomial rings (mainly the Quillen-Suslin theorem) and syzygies of multivariate polynomials with coefficients in a valuation ring.
Simple and constructive proofs of some results in the theory of projective modules over polynomial rings are also given, and light is cast upon recent progress on the Hermite ring and Gr bner ring conjectures. New conjectures on unimodular completion arising from our constructive approach to the unimodular completion problem are presented.
Constructive algebra can be understood as a first preprocessing step for computer algebra that leads to the discovery of general algorithms, even if they are sometimes not efficient. From a logical point of view, the dynamical evaluation gives a constructive substitute for two highly nonconstructive tools of abstract algebra: the Law of Excluded Middle and Zorn's Lemma. For instance, these tools are required in order to construct the complete prime factorization of an ideal in a Dedekind ring, whereas the dynamical method reveals the computational content of this construction. These lecture notes follow this dynamical philosophy.
Автор: Gilberto Bini; Flaminio Flamini Название: Finite Commutative Rings and Their Applications ISBN: 1461353238 ISBN-13(EAN): 9781461353232 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Cornelius Greither Название: Cyclic Galois Extensions of Commutative Rings ISBN: 3540563504 ISBN-13(EAN): 9783540563501 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This exposition is aimed at readers with some background in either commutative algebra or algebraic number theory. Emphasis is placed on the notion of a normal basis, which allows researchers to view Leopoldt`s conjecture on number theory from a new angle.
Автор: Gueye Название: Non-Associative and Non-Commutative Algebra and Operator Theory ISBN: 3319329006 ISBN-13(EAN): 9783319329000 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: James W. Brewer; Sarah Glaz; William Heinzer; Bruc Название: Multiplicative Ideal Theory in Commutative Algebra ISBN: 1441937552 ISBN-13(EAN): 9781441937551 Издательство: Springer Рейтинг: Цена: 144410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies.
Автор: Hatice Boylan Название: Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields ISBN: 3319129155 ISBN-13(EAN): 9783319129150 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields.
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