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Rings, Modules, and Closure Operations, Jesse Elliott


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Цена: 13974.00р.
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Автор: Jesse Elliott
Название:  Rings, Modules, and Closure Operations
ISBN: 9783030244002
Издательство: Springer
Классификация:

ISBN-10: 3030244008
Обложка/Формат: Hardcover
Страницы: 490
Вес: 0.93 кг.
Дата издания: 2019
Серия: Springer Monographs in Mathematics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 163 illustrations, black and white; xxiv, 490 p. 163 illus.
Размер: 234 x 156 x 29
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Дополнительное описание: Preface.- 0. Preliminaries.- 1. Introductory survey of multiplicative ideal theory.- 2. Semistar operations on commutative rings.- 3. Semistar operations on commutative rings: local methods.- 4. Extensions of commutative rings.- 5. Semiprime, star, and se



Integral Closure

Автор: Wolmer Vasconcelos
Название: Integral Closure
ISBN: 3642064922 ISBN-13(EAN): 9783642064920
Издательство: Springer
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Цена: 21661.00 р.
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Описание: This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

Rings and Categories of Modules

Автор: Frank W. Anderson; Kent R. Fuller
Название: Rings and Categories of Modules
ISBN: 1461287634 ISBN-13(EAN): 9781461287636
Издательство: Springer
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Цена: 9776.00 р.
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Описание: This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses.

Semilocal Categories and Modules with Semilocal Endomorphism Rings

Автор: Alberto Facchini
Название: Semilocal Categories and Modules with Semilocal Endomorphism Rings
ISBN: 3030232832 ISBN-13(EAN): 9783030232832
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material.In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research.Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.

Rings, Modules and Codes

Автор: Andre Leroy, Christian Lomp, Sergio Lopez-Permouth, Frederique Oggier
Название: Rings, Modules and Codes
ISBN: 1470441047 ISBN-13(EAN): 9781470441043
Издательство: Mare Nostrum (Eurospan)
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Цена: 16302.00 р.
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Описание: This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12-15, 2017, at the University of Artois, Lens, France.The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed-Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.

Lectures on Modules and Rings

Автор: Tsit-Yuen Lam
Название: Lectures on Modules and Rings
ISBN: 1461268028 ISBN-13(EAN): 9781461268024
Издательство: Springer
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Цена: 9357.00 р.
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Описание: Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was too late My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. My original plan was to write up my lectures and publish them as a graduate text in a couple of years. My hopes of carrying out this plan on schedule were, however, quickly dashed as I began to realize how much material was at hand and how little time I had at my disposal. As the years went by, I added further material to my notes, and used them to teach different versions of the course. Eventually, I came to the realization that writing a single volume would not fully accomplish my original goal of giving a comprehensive treatment of basic ring theory. At the suggestion of Ulrike Schmickler-Hirzebruch, then Mathematics Editor of Springer-Verlag, I completed the first part of my project and published the write- up in 1991 as A First Course in Noncommutative Rings, GTM 131, hereafter referred to as First Course (or simply FC).

Lattice-ordered Rings and Modules

Автор: Stuart A. Steinberg
Название: Lattice-ordered Rings and Modules
ISBN: 1489982973 ISBN-13(EAN): 9781489982971
Издательство: Springer
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Цена: 9077.00 р.
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Описание: This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Key topics include: lattice-ordered groups, rings, and fields; Archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

Graded and Filtered Rings and Modules

Автор: C. Nastasescu; F. van Oystaeyen
Название: Graded and Filtered Rings and Modules
ISBN: 3540097082 ISBN-13(EAN): 9783540097082
Издательство: Springer
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Цена: 3487.00 р.
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Rings and Modules of Quotients

Автор: B. Stenstr?m
Название: Rings and Modules of Quotients
ISBN: 3540056904 ISBN-13(EAN): 9783540056904
Издательство: Springer
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Цена: 3487.00 р.
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Rings and Categories of Modules

Автор: Frank W. Anderson; Kent R. Fuller
Название: Rings and Categories of Modules
ISBN: 0387978453 ISBN-13(EAN): 9780387978451
Издательство: Springer
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Цена: 9776.00 р.
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Описание: Offers an account of much of the theory of rings and modules. This book provides the basic definitions and properties of rings, modules and homomorphisms. It offers comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, and Morita equivalence and duality.

Rings, Polynomials, and Modules

Автор: Marco Fontana; Sophie Frisch; Sarah Glaz; Francesc
Название: Rings, Polynomials, and Modules
ISBN: 3319658727 ISBN-13(EAN): 9783319658728
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

Preface.- 1 Reducing Fractions to Lowest Terms.- 2 Unique Factorization in Torsion-free Modules.- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey.- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field.- 5 Minimal Generating Sets for the D-Algebra Int(S, D).- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces.- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat.- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions.- 9 Applications of Multisymmetric Syzygies in Invariant Theory.- 10 Functorial Properties of Star Operations: New Developments.- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids.- 12 Corner's Realization Theorems from the Viewpoint of Algebraic Entropy.- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks.- 14 Divisorial Prime Ideals in Prьfer Domains.- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative.- 16 Quasi-Prьfer Extensions of Rings.- 17 A Note on Analytically Irreducible Domains.- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.


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