Download or read book The Use of Ultraproducts in Commutative Algebra written by Hans Schoutens and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Commutative Algebra written by Marco Fontana and published by Springer Science & Business Media. This book was released on 2010-09-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Commutative Algebra and its Applications written by Marco Fontana and published by Walter de Gruyter. This book was released on 2009-09-04 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Commutative Algebra written by Oscar Zariski and published by . This book was released on 1958 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ultrafilters Throughout Mathematics written by Isaac Goldbring and published by American Mathematical Society. This book was released on 2022-06-28 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Commutative Ring Theory and Applications written by Marco Fontana and published by CRC Press. This book was released on 2017-07-27 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Ulrich Bundles written by Laura Costa and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Progress in commutative algebra written by Christopher Francisco and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Progress in commutative algebra written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Singular Introduction to Commutative Algebra written by Gert-Martin Greuel and published by Springer Science & Business Media. This book was released on 2002 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: "a version of Singular for various platforms (Unix/Linux, Windows, Macintosh:, including all examples and procedures explained in the book."

Download or read book Models and Ultraproducts written by John Lane Bell and published by . This book was released on 1969 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Trends in Commutative Rings Research written by Ayman Badawi and published by Nova Publishers. This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trends in Commutative Rings Research

Download or read book Models and Ultraproducts written by John Lane Bell and published by . This book was released on 1971 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an elementary exposition of some of the basic concepts of model theory. Model theory, which can be described briefly as the study of the relationship between formal languages and abstract structures, covers a very wide field and it is not possible to compress it into one volume. We have chosen as our theme the ultraproducts construction. We hope this book we be of use to undergraduate and practicing mathematicians.

Download or read book Combinatorial Aspects of Commutative Algebra written by Viviana Ene and published by American Mathematical Soc.. This book was released on 2009 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Homological Methods in Commutative Algebra written by Andrea Ferretti and published by American Mathematical Society. This book was released on 2023-12-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic commutative algebra, for example, as covered in the author's book, Commutative Algebra. The first part of the book is an elementary but thorough exposition of the concepts of homological algebra, starting from categorical language up to the construction of derived functors and spectral sequences. A full proof of the celebrated Freyd-Mitchell theorem on the embeddings of small Abelian categories is included. The second part of the book is devoted to the application of these techniques in commutative algebra through the study of projective, injective, and flat modules, the construction of explicit resolutions via the Koszul complex, and the properties of regular sequences. The theory is then used to understand the properties of regular rings, Cohen-Macaulay rings and modules, Gorenstein rings and complete intersections. Overall, this book is a valuable resource for anyone interested in learning about homological algebra and its applications in commutative algebra. The clear and thorough presentation of the material, along with the many examples and exercises of varying difficulty, make it an excellent choice for self-study or as a reference for researchers.

Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.