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Author: Hans Schoutens
Publisher: Springer Science & Business Media
Published: 2010-07-31
Total Pages: 215
ISBN-13: 3642133673
DOWNLOAD EBOOK →Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.
Author: Marco Fontana
Publisher: Springer Science & Business Media
Published: 2010-09-29
Total Pages: 491
ISBN-13: 144196990X
DOWNLOAD EBOOK →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.
Author: Marco Fontana
Publisher: Walter de Gruyter
Published: 2009-09-04
Total Pages: 395
ISBN-13: 3110213184
DOWNLOAD EBOOK →This volume contains selected refereed papers based on lectures presented at the ‘Fifth International Fez Conference on Commutative Algebra and Applications’ that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years.
Author: Isaac Goldbring
Publisher: American Mathematical Society
Published: 2022-06-28
Total Pages: 421
ISBN-13: 1470469618
DOWNLOAD EBOOK →Ultrafilters and ultraproducts provide a useful generalization of the ordinary limit processes which have applications to many areas of mathematics. Typically, this topic is presented to students in specialized courses such as logic, functional analysis, or geometric group theory. In this book, the basic facts about ultrafilters and ultraproducts are presented to readers with no prior knowledge of the subject and then these techniques are applied to a wide variety of topics. The first part of the book deals solely with ultrafilters and presents applications to voting theory, combinatorics, and topology, while also dealing also with foundational issues. The second part presents the classical ultraproduct construction and provides applications to algebra, number theory, and nonstandard analysis. The third part discusses a metric generalization of the ultraproduct construction and gives example applications to geometric group theory and functional analysis. The final section returns to more advanced topics of a more foundational nature. The book should be of interest to undergraduates, graduate students, and researchers from all areas of mathematics interested in learning how ultrafilters and ultraproducts can be applied to their specialty.
Author: Marco Fontana
Publisher: CRC Press
Published: 2017-07-27
Total Pages: 520
ISBN-13: 0203910621
DOWNLOAD EBOOK →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
Author: Laura Costa
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2021-05-10
Total Pages: 282
ISBN-13: 3110647680
DOWNLOAD EBOOK →The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the last 30 years, and to present relevant techniques and multiple applications of the theory of Ulrich bundles to a wide range of problems in algebraic geometry as well as in commutative algebra.
Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
Published: 2002
Total Pages: 640
ISBN-13: 9783540428978
DOWNLOAD EBOOK →CD-ROM contains: "a version of Singular for various platforms (Unix/Linux, Windows, Macintosh:, including all examples and procedures explained in the book."
