Автор: Marco Fontana; Sophie Frisch; Sarah Glaz Название: Commutative Algebra ISBN: 1493947419 ISBN-13(EAN): 9781493947416 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Ayman Badawi; Jim Coykendall Название: Advances in Commutative Algebra ISBN: 9811370273 ISBN-13(EAN): 9789811370274 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Поставка под заказ. Описание: This book highlights the contributions of the eminent mathematician and leading algebraist David F. Anderson in wide-ranging areas of commutative algebra. It provides a balance of topics for experts and non-experts, with a mix of survey papers to offer a synopsis of developments across a range of areas of commutative algebra and outlining Anderson’s work. The book is divided into two sections—surveys and recent research developments—with each section presenting material from all the major areas in commutative algebra. The book is of interest to graduate students and experienced researchers alike.
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: Winfried Bruns; Aron Simis Название: Commutative Algebra ISBN: 3540527451 ISBN-13(EAN): 9783540527459 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Describes commutative algebra with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.
Автор: Melvin Hochster; Craig Huneke; Judith D. Sally Название: Commutative Algebra ISBN: 1461281962 ISBN-13(EAN): 9781461281962 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Linsen Chou Название: Algebraic Geometry and Commutative Algebra ISBN: 1681171821 ISBN-13(EAN): 9781681171821 Издательство: Gazelle Book Services Рейтинг: Цена: 203050.00 T Наличие на складе: Невозможна поставка. Описание: Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. The major objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves and quartic curves like lemniscates, and Cassini ovals. Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Commutative algebra is the main technical tool in the local study of schemes. The study of rings which are not necessarily commutative is known as noncommutative algebra; it includes ring theory, representation theory, and the theory of Banach algebras. This textbook provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics. This book explores into the rich interplay between algebraic geometry and commutative algebra.
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