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Ring Theory And Algebraic Geometry

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Ring Theory And Algebraic Geometry

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Author : A. Granja
language : en
Publisher: CRC Press
Release Date : 2001-05-08

Ring Theory And Algebraic Geometry written by A. Granja and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-08 with Mathematics categories.

Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.

Ring Theory And Algebraic Geometry

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Author : A. Granja
language : en
Publisher: CRC Press
Release Date : 2001-05-08

Introduction To Ring Theory

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Author : Paul M. Cohn
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Ring Theory written by Paul M. Cohn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Most parts of algebra have undergone great changes and advances in recent years, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product. Tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

Commutative Ring Theory

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Author : Hideyuki Matsumura
language : en
Publisher: Cambridge University Press
Release Date : 1989-05-25

Commutative Ring Theory written by Hideyuki Matsumura and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-25 with Mathematics categories.

This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.

Representation Theory And Algebraic Geometry

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Author : A. Martsinkovsky
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-15

Representation Theory And Algebraic Geometry written by A. Martsinkovsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-15 with Mathematics categories.

For any researcher working in representation theory, algebraic or arithmetic geometry.

Rings And Geometry

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Author : R. Kaya
language : en
Publisher: Springer
Release Date : 1985-09-30

Rings And Geometry written by R. Kaya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-09-30 with Mathematics categories.

When looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de veloped branch of mathematics has been dealt with in a variety of mono graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to combinatorics. To make these remarks more precise, we will now give a description of the contents. In the first chapter, an approach towards a theory of non-commutative algebraic geometry is attempted from two different points of view.

Brauer Groups In Ring Theory And Algebraic Geometry

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Author : F. van Oystaeyen
language : en
Publisher: Springer
Release Date : 2006-11-14

Brauer Groups In Ring Theory And Algebraic Geometry written by F. van Oystaeyen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Non Noetherian Commutative Ring Theory

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Author : S.T. Chapman
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-10-31

Non Noetherian Commutative Ring Theory written by S.T. Chapman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-31 with Mathematics categories.

This volume consists of twenty-one articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine in various degrees surveys of past results, recent results that have never before seen print, open problems, and an extensive bibliography. One hundred open problems supplied by the authors have been collected in the volume's concluding chapter. The entire collection provides a comprehensive survey of the development of the field over the last ten years and points to future directions of research in the area. Audience: Researchers and graduate students; the volume is an appropriate source of material for several semester-long graduate-level seminars and courses.

Almost Ring Theory

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Author : Ofer Gabber
language : en
Publisher: Springer
Release Date : 2003-12-09

Almost Ring Theory written by Ofer Gabber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-09 with Mathematics categories.

The authors develop thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an "almost ring". Almost rings are the commutative unitary monoids in a tensor category obtained as a quotient V-Mod/S of the category V-Mod of modules over a fixed ring V; the subcategory S consists of all modules annihilated by a fixed ideal m of V, satisfying certain natural conditions. The reader is assumed to be familiar with general categorical notions, some basic commutative algebra and some advanced homological algebra (derived categories, simplicial methods). Apart from these general prerequisites, the text is as self-contained as possible. One novel feature of the book - compared with Faltings' earlier treatment - is the systematic exploitation of the cotangent complex, especially for the study of deformations of almost algebras.

Ring Theory And Algebraic Geometry

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Author : A. Granja
language : en
Publisher: CRC Press
Release Date : 2001-05-08

Ring Theory And Algebraic Geometry

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