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Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra

Author: William J. Heinzer

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 456

ISBN-13: 0821851888

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.

Commutative Algebra

Author: William J. Heinzer

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 444

ISBN-13: 9780821851883

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Commutative Algebra

Author: Marco Fontana

Publisher: Springer Science & Business Media

Published: 2010-09-29

Total Pages: 491

ISBN-13: 144196990X

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Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.

Commutative Ring Theory and Applications

Author: Marco Fontana

Publisher: CRC Press

Published: 2017-07-27

Total Pages: 524

ISBN-13: 9780203910627

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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, geome

Homological and Computational Methods in Commutative Algebra

Author: Aldo Conca

Publisher: Springer

Published: 2017-11-16

Total Pages: 256

ISBN-13: 3319619438

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This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.

Commutative Algebra: 150 Years with Roger and Sylvia Wiegand

Author: Nicholas R. Baeth

Publisher: American Mathematical Soc.

Published: 2021-10-06

Total Pages: 224

ISBN-13: 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.

Birational Algebraic Geometry

Author: Wei-Liang Chow

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 176

ISBN-13: 0821807692

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Ten research reports illustrate the many directions the field is taking, and feature problems on special models such as Fanos and their fibrations, adjunctions and subadjunction formuli, and projectivity and projective embeddings. Also included are a eulogy and bibliography for the mathematician Chow, who was at Johns Hopkins since the 1940s. No index. Annotation copyrighted by Book News, Inc., Portland, OR

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 and Noncommutative Algebraic Geometry

Author: David Eisenbud

Publisher: Cambridge University Press

Published: 2015-11-19

Total Pages: 463

ISBN-13: 1107065623

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This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.

Commutative Algebra

Author: Irena Peeva

Publisher: Springer Nature

Published: 2022-02-18

Total Pages: 898

ISBN-13: 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.