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Commutative Algebra: 150 Years with Roger and Sylvia Wiegand

Commutative Algebra: 150 Years with Roger and Sylvia Wiegand
Author: Nicholas R. Baeth
Publisher: American Mathematical Soc.
Total Pages: 224
Release: 2021-10-06
Genre: Education
ISBN: 147045601X

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This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14–15, 2019, at the University of Wisconsin-Madison, Wisconsin. These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years. Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal Cohen-Macaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields. The volume itself bears evidence that the area of commutative algebra is a vibrant one and highlights the influence of the Wiegands on generations of researchers. It will be useful to researchers and graduate students.


Commutative Algebra

Commutative Algebra
Author: Nicholas R. Baeth
Publisher:
Total Pages: 224
Release: 1900
Genre: Commutative algebra
ISBN: 9781470465155

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This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22-26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14-15, 2019, at the University of Wisconsin-Madison, Wisconsin.These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years.Articles in this volume cover.


Commutative Algebra

Commutative Algebra
Author: Irena Peeva
Publisher: Springer Nature
Total Pages: 898
Release: 2022-02-18
Genre: Mathematics
ISBN: 3030896943

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This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.


Commutative Ring Theory and Applications

Commutative Ring Theory and Applications
Author: Marco Fontana
Publisher: CRC Press
Total Pages: 517
Release: 2002-10-01
Genre: Mathematics
ISBN: 9781135565039

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Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geometry, and homological and computational algebra. Presenting challenging problems of contemporary interest, discussions include linear Diophantine equations, going-down and going-up properties, and graded modules and analytic spread. They also cover algebroid curves and chain conditions, ideals and modules, and integral independence.


Commutative Algebra

Commutative Algebra
Author: Luchezar L. Avramov
Publisher:
Total Pages: 358
Release: 2003
Genre: Commutative algebra
ISBN: 9780821832332

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Reviews in Ring Theory, 1980-84

Reviews in Ring Theory, 1980-84
Author: Lance W. Small
Publisher:
Total Pages: 712
Release: 1986
Genre: Mathematics
ISBN:

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Three Lectures on Commutative Algebra

Three Lectures on Commutative Algebra
Author: Holger Brenner
Publisher: American Mathematical Soc.
Total Pages: 190
Release: 2008
Genre: Mathematics
ISBN: 9781470421861

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This book provides careful and detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its applications. The book is based on courses at the Winter School on Commutative Algebra and Applications held in Barcelona: Tight closure and vector bundles, by H. Brenner; Combinatorics and commutative algebra, by J. Herzog; and Constructive desingularization, by O. Villamayor.


Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples

Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples
Author: William Heinzer
Publisher: American Mathematical Soc.
Total Pages: 426
Release: 2021-10-08
Genre: Education
ISBN: 1470466422

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Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.


Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 1524
Release: 2004
Genre: Mathematics
ISBN:

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