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A Singular Introduction to Commutative Algebra, O. Bachmann; Gert-Martin Greuel; C. Lossen; Gerhar



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Автор: O. Bachmann; Gert-Martin Greuel; C. Lossen; Gerhar
Название:  A Singular Introduction to Commutative Algebra
ISBN: 9783642442544
Издательство: Springer
Классификация:
ISBN-10: 3642442544
Обложка/Формат: Paperback
Страницы: 689
Вес: 0.978 кг.
Дата издания: 25.09.2014
Язык: English
Издание: 2nd ed. 2008
Иллюстрации: Xx, 689 p.
Размер: 234 x 156 x 36
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.


Commutative Algebra

Автор: Marco Fontana; Sophie Frisch; Sarah Glaz
Название: Commutative Algebra
ISBN: 1493947419 ISBN-13(EAN): 9781493947416
Издательство: Springer
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Цена: 14540 р.
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Описание:

This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non- Noetherian ring theory as well as integer-valued polynomials and functions.

Specific topics include:

- Homological dimensions of Prufer-like rings

- Quasi complete rings

- Total graphs of rings

- Properties of prime ideals over various rings

- Bases for integer-valued polynomials

- Boolean subrings

- The portable property of domains

- Probabilistic topics in Intn(D)

- Closure operations in Zariski-Riemann spaces of valuation domains

- Stability of domains

- Non-Noetherian grade

- Homotopy in integer-valued polynomials

- Localizations of global properties of rings

- Topics in integral closure

- Monoids and submonoids of domains

The book includes twenty articles written by many of the most prominent researchers in the field. Most contributions are authored by attendees of the conference in commutative algebra held at the Graz University of Technology in December 2012. There is also a small collection of invited articles authored by those who did not attend the conference. Following the model of the Graz conference, the volume contains a number of comprehensive survey articles along with related research articles featuring recent results that have not yet been published elsewhere.

Introduction To Algebraic Geometry And Commutative Algebra

Автор: Patil Dilip P Et Al
Название: Introduction To Algebraic Geometry And Commutative Algebra
ISBN: 9814304565 ISBN-13(EAN): 9789814304566
Издательство: World Scientific Publishing
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Цена: 12355 р.
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Описание: Suitable for a graduate course in pure mathematics, this title provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. It delves into the rich interplay between algebraic geometry and commutative algebra.

Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

Автор: Alberto Parmeggiani
Название: Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction
ISBN: 3642119212 ISBN-13(EAN): 9783642119217
Издательство: Springer
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Цена: 6880 р.
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Описание: This book grew out of a series of lectures given at the Mathematics Department of Kyushu University in the Fall 2006, within the support of the 21st Century COE Program (2003-2007) "Development of Dynamical Mathematics with High Fu- tionality" (Program Leader: prof. Mitsuhiro Nakao). It was initially published as the Kyushu University COE Lecture Note n- ber 8 (COE Lecture Note, 8. Kyushu University, The 21st Century COE Program "DMHF," Fukuoka, 2008. vi+234 pp.), and in the present form is an extended v- sion of it (in particular, I have added a section dedicated to the Maslov index). The book is intended as a rapid (though not so straightforward) pseudodiff- ential introduction to the spectral theory of certain systems, mainly of the form a +a where the entries of a are homogeneous polynomials of degree 2 in the 2 0 2 n n (x, ?)-variables, (x, ?)? R R, and a is a constant matrix, the so-called non- 0 commutative harmonic oscillators, with particular emphasis on a class of systems introduced by M. Wakayama and myself about ten years ago. The class of n- commutative harmonic oscillators is very rich, and many problems are still open, and worth of being pursued.

Commutative Algebra

Автор: Marco Fontana; Salah-Eddine Kabbaj; Bruce Olberdin
Название: Commutative Algebra
ISBN: 1489990046 ISBN-13(EAN): 9781489990044
Издательство: Springer
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Цена: 28315 р.
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Описание: Commutative Algebra presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. Topics include generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, and more.

Commutative Algebra

Автор: Winfried Bruns; Aron Simis
Название: Commutative Algebra
ISBN: 3540527451 ISBN-13(EAN): 9783540527459
Издательство: Springer
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Цена: 3819 р.
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Описание: Describes commutative algebra with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.

Computational Commutative Algebra 2

Автор: Martin Kreuzer; Lorenzo Robbiano
Название: Computational Commutative Algebra 2
ISBN: 3642064914 ISBN-13(EAN): 9783642064913
Издательство: Springer
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Цена: 9182 р.
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Описание: "The second volume of the authors` `Computational commutative algebra`...covers on its 586 pages a wealth of interesting material with several unexpected applications. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications."

Multiplicative Ideal Theory in Commutative Algebra

Автор: James W. Brewer; Sarah Glaz; William Heinzer; Bruc
Название: Multiplicative Ideal Theory in Commutative Algebra
ISBN: 1441937552 ISBN-13(EAN): 9781441937551
Издательство: Springer
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Цена: 23724 р.
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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.

Commutative Algebra

Автор: Melvin Hochster; Craig Huneke; Judith D. Sally
Название: Commutative Algebra
ISBN: 1461281962 ISBN-13(EAN): 9781461281962
Издательство: Springer
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Цена: 18366 р.
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Описание: During late June and early July of 1987 a three week program (dubbed "microprogram") in Commutative Algebra was held at the Mathematical Sciences Research Institute at Berkeley.

Commutative Algebra

Автор: Irena Peeva
Название: Commutative Algebra
ISBN: 1461452910 ISBN-13(EAN): 9781461452911
Издательство: Springer
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Цена: 27550 р.
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Описание: This volume covers a very wide range of topics, including core areas in commutative algebra and also relations to algebraic geometry, algebraic combinatorics, hyperplane arrangements, homological algebra, and string theory.

Non-Associative and Non-Commutative Algebra and Operator Theory

Автор: Gueye
Название: Non-Associative and Non-Commutative Algebra and Operator Theory
ISBN: 3319329006 ISBN-13(EAN): 9783319329000
Издательство: Springer
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Цена: 19897 р.
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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.


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