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: Aron Simis

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-03-09

Total Pages: 340

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.

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.

Women in Commutative Algebra
Women in Commutative Algebra

Author: Claudia Miller

Publisher: Springer Nature

Published: 2022-03-18

Total Pages: 439

ISBN-13: 3030919862

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This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS). The purpose of this meeting was for groups of mathematicians to work on joint research projects in the mathematical field of Commutative Algebra and continue these projects together long-distance after its close. The chapters include both direct results and surveys, with contributions from research groups and individual authors. The WICA conference was the first of its kind in the large and vibrant area of Commutative Algebra, and this volume is intended to showcase its important results and to encourage further collaboration among marginalized practitioners in the field. It will be of interest to a wide range of researchers, from PhD students to senior experts.

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.

Combinatorial Aspects of Commutative Algebra
Combinatorial Aspects of Commutative Algebra

Author: Viviana Ene

Publisher: American Mathematical Soc.

Published: 2009-11-25

Total Pages: 194

ISBN-13: 0821847589

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This volume contains the proceedings of the Exploratory Workshop on Combinatorial Commutative Algebra and Computer Algebra, which took place in Mangalia, Romania on May 29-31, 2008. It includes research papers and surveys reflecting some of the current trends in the development of combinatorial commutative algebra and related fields. This volume focuses on the presentation of the newest research results in minimal resolutions of polynomial ideals (combinatorial techniques and applications), Stanley-Reisner theory and Alexander duality, and applications of commutative algebra and of combinatorial and computational techniques in algebraic geometry and topology. Both the algebraic and combinatorial perspectives are well represented and some open problems in the above directions have been included.