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Three Lectures On Commutative Algebra

Three Lectures on Commutative Algebra PDF

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Author: Holger Brenner
Publisher: American Mathematical Soc.
ISBN: 0821844342
Size: 52.26 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 190
View: 3146

Book Description: 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. The exposition is aimed at graduate students who have some experience with basic commutative algebra or algebraic geometry but may also serve as an introduction to these modern approaches for mathematicians already familiar with commutative algebra. This book is published in cooperation with Real Sociedad Matematica Espanola.


Three Lectures On Commutative Algebra

Three Lectures on Commutative Algebra PDF

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Author: Gemma Colomé-Nin
Publisher: American Mathematical Soc.
ISBN: 9780821882986
Size: 74.18 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 190
View: 5953

Book Description:


Commutative Algebra

Commutative Algebra PDF

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Author: Marco Fontana
Publisher: Springer Science & Business Media
ISBN: 9781441969903
Size: 54.70 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 492
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Book Description: 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.


Lectures On Rings And Modules

Lectures on Rings and Modules PDF

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Author: Joachim Lambek
Publisher: American Mathematical Soc.
ISBN: 9780821849002
Size: 57.39 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 187
View: 4102

Book Description: Due to their clarity and intelligible presentation, these lectures on rings and modules are a particularly successful introduction to the surrounding circle of ideas. --Zentralblatt MATH This book is an introduction to the theory of associative rings and their modules, designed primarily for graduate students. The standard topics on the structure of rings are covered, with a particular emphasis on the concept of the complete ring of quotients. A survey of the fundamental concepts of algebras in the first chapter helps to make the treatment self-contained. The topics covered include selected results on Boolean and other commutative rings, the classical structure theory of associative rings, injective modules, and rings of quotients. The final chapter provides an introduction to homological algebra. Besides three appendices on further results, there is a six-page section of historical comments.


Progress In Commutative Algebra 2

Progress in Commutative Algebra 2 PDF

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Author: Christopher Francisco
Publisher: Walter de Gruyter
ISBN: 311027860X
Size: 20.42 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 325
View: 132

Book Description: This is the second of two volumes of a state-of-the-art survey article collection which emanates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. The current trends in two of the most active areas of commutative algebra are presented: non-noetherian rings (factorization, ideal theory, integrality), advances from the homological study of noetherian rings (the local theory, graded situation and its interactions with combinatorics and geometry). This second volume discusses closures, decompositions, and factorization.


Commutative Algebra

Commutative Algebra PDF

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Author: R. Y. Sharp
Publisher: Cambridge University Press
ISBN: 0521271258
Size: 75.86 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 250
View: 5345

Book Description: This book is concerned with the research conducted in the late 1970s and early 1980s in the theory of commutative Neotherian rings. It consists of articles by invited speakers at the Symposium of Commutative Algebra held at the University of Durham in July 1981; these articles are all based on lectures delivered at the Symposium. The purpose of this book is to provide a record of at least some aspects of the Symposium, which several of the world leaders in the field attended. Several articles are included which provide surveys, incorporating historical perspective, details of progress made and indications of possible future lines of investigation. The book will be of interest to scholars of commutative and local algebra.


Catalogs Of Courses

Catalogs of Courses PDF

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Author: University of California, Berkeley
Publisher:
ISBN:
Size: 66.82 MB
Format: PDF, Docs
Category :
Languages : en
Pages :
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Book Description: Includes general and summer catalogs issued between 1878/1879 and 1995/1997.


Trends In Commutative Algebra

Trends in Commutative Algebra PDF

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Author: Luchezar L. Avramov
Publisher: Cambridge University Press
ISBN: 0521831954
Size: 16.86 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 254
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Book Description: In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help session, describing the interaction of commutative algebra with other areas of mathematics for a broad audience of graduate students and researchers. This book is based on those lectures, together with papers from contributing researchers. David Benson and Srikanth Iyengar present an introduction to the uses and concepts of commutative algebra in the cohomology of groups. Mark Haiman considers the commutative algebra of n points in the plane. Ezra Miller presents an introduction to the Hilbert scheme of points to complement Professor Haiman's paper. Further contributors include David Eisenbud and Jessica Sidman; Melvin Hochster; Graham Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and Ana Bravo.


Lectures On Commutative Algebra

Lectures on Commutative Algebra PDF

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Author: Salomon Bochner
Publisher:
ISBN:
Size: 20.85 MB
Format: PDF, Docs
Category : Algebra, Universal
Languages : en
Pages : 76
View: 3677

Book Description: