Commutative Algebra - Proceedings Of The Workshop
Commutative Algebra - Proceedings Of The Workshop

Author: Giuseppe Valla

Publisher: World Scientific

Published: 1994-08-19

Total Pages: 330

ISBN-13: 9814551791

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In a relatively short time, commutative algebra has grown in many directions. Over a period of nearly fifty years starting from the so-called homological period till today, the area has developed into a rich laboratory of methods, structures and problem-solving tools.One could say a distinct modern trend of commutative algebra is a strong interaction with various aspects of Combinatorics and Computer Algebra. This has resulted in a new sense of measuring for old assumptions, and a better understanding of old results.At the same time, Invariant Theory and Algebraic Geometry remain constituents of an everlasting classical source, responsible for important themes that have been developed in Commutative Algebra — such as deformation, linkage, algebraic tori and determinantal rings, etc.This volume of proceedings is well-entrenched on the lines of development outlined above. As such, it aims to keep researchers and mathematicians well-informed of the developments in the field.

Commutative Algebra
Commutative Algebra

Author: Winfried Bruns

Publisher: Springer

Published: 2006-11-14

Total Pages: 169

ISBN-13: 3540471367

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The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra. Most of the papers have partly survey character, but are research-oriented, aiming at classification and structural results.

Commutative Algebra
Commutative Algebra

Author: Aron Simis

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-03-09

Total Pages: 428

ISBN-13: 3110617072

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This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second part covers material such as associated primes and primary decomposition, local rings, M-sequences and Cohen-Macaulay modules, and homological methods.

A Singular Introduction to Commutative Algebra
A Singular Introduction to Commutative Algebra

Author: Gert-Martin Greuel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 601

ISBN-13: 3662049635

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This book can be understood as a model for teaching commutative algebra, and takes into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, the authors show how the concept can be worked on using a computer. The computations are exemplified with the computer algebra system Singular, developed by the authors. Singular is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book includes a CD containing Singular as well as the examples and procedures explained in the book.

Commutative Algebra
Commutative Algebra

Author: Winfried Bruns

Publisher: Springer

Published: 1990-07-10

Total Pages: 166

ISBN-13: 9783540527459

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The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra. Most of the papers have partly survey character, but are research-oriented, aiming at classification and structural results.

Non-Associative and Non-Commutative Algebra and Operator Theory
Non-Associative and Non-Commutative Algebra and Operator Theory

Author: Cheikh Thiécoumbe Gueye

Publisher: Springer

Published: 2018-06-23

Total Pages: 254

ISBN-13: 9783319813943

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Presenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associative algebras, operator theory and ring and module theory. These themes are relevant in research and development in coding theory, cryptography and quantum mechanics. The topics in this volume were presented at the Workshop on Non-Associative & Non-Commutative Algebra and Operator Theory, held May 23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honor of Professor Amin Kaidi. The workshop was hosted by the university's Laboratory of Algebra, Cryptology, Algebraic Geometry and Applications, in cooperation with the University of Almería and the University of Málaga. Dr. Kaidi's work focuses on non-associative rings and algebras, operator theory and functional analysis, and he has served as a mentor to a generation of mathematicians in Senegal and around the world.

Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra
Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra

Author: William J. Heinzer

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 456

ISBN-13: 0821851888

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This volume contains refereed papers on themes explored at the AMS-IMS-SIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of one-hour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, free resolutions and the homological conjectures, Rees algebras, and local cohomology. With contributions by several leading experts in the field, this volume provides an excellent survey of current research in commutative algebra.