Methods Of Graded Rings
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Methods Of Graded Rings
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Author : Constantin Nastasescu
language : en
Publisher: Springer
Release Date : 2004-02-07
Methods Of Graded Rings written by Constantin Nastasescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-07 with Mathematics categories.
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.
Methods Of Graded Rings
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Author : Constantin Nastasescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-19
Methods Of Graded Rings written by Constantin Nastasescu 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 2004-02-19 with Mathematics categories.
The Category of Graded Rings.- The Category of Graded Modules.- Modules over Stronly Graded Rings.- Graded Clifford Theory.- Internal Homogenization.- External Homogenization.- Smash Products.- Localization of Graded Rings.- Application to Gradability.- Appendix A:Some Category Theory.- Appendix B: Dimensions in an abelian Category.- Bibliography.- Index.-
Methods Of Graded Rings
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Author : Constantin Năstăsescu
language : en
Publisher:
Release Date : 2004
Methods Of Graded Rings written by Constantin Năstăsescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Algebra categories.
Methods Of Graded Rings
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Author : Constantin Nastasescu
language : en
Publisher: Springer
Release Date : 2004-02-19
Methods Of Graded Rings written by Constantin Nastasescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-19 with Mathematics categories.
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.
Methods In Ring Theory
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Author : Freddy Van Oystaeyen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Methods In Ring Theory written by Freddy Van Oystaeyen 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.
Proceedings of the NATO Advanced Study Institute, Antwerp, Belgium, August 2-12, 1983
Methods Of Graded Rings
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Author : Constantin Nastasescu
language : en
Publisher:
Release Date : 2014-01-15
Methods Of Graded Rings written by Constantin Nastasescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Methods Of Homological Algebra
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Author : Sergei I. Gelfand
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Methods Of Homological Algebra written by Sergei I. Gelfand 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 2013-04-17 with Mathematics categories.
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn about a modern approach to homological algebra and to use it in their work.
Graded Ring Theory
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Author : C. Nastasescu
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Graded Ring Theory written by C. Nastasescu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
This book is aimed to be a 'technical' book on graded rings. By 'technical' we mean that the book should supply a kit of tools of quite general applicability, enabling the reader to build up his own further study of non-commutative rings graded by an arbitrary group. The body of the book, Chapter A, contains: categorical properties of graded modules, localization of graded rings and modules, Jacobson radicals of graded rings, the structure thedry for simple objects in the graded sense, chain conditions, Krull dimension of graded modules, homogenization, homological dimension, primary decomposition, and more. One of the advantages of the generality of Chapter A is that it allows direct applications of these results to the theory of group rings, twisted and skew group rings and crossed products. With this in mind we have taken care to point out on several occasions how certain techniques may be specified to the case of strongly graded rings. We tried to write Chapter A in such a way that it becomes suitable for an advanced course in ring theory or general algebra, we strove to make it as selfcontained as possible and we included several problems and exercises. Other chapters may be viewed as an attempt to show how the general techniques of Chapter A can be applied in some particular cases, e.g. the case where the gradation is of type Z. In compiling the material for Chapters B and C we have been guided by our own research interests. Chapter 6 deals with commutative graded rings of type 2 and we focus on two main topics: artihmeticallygraded domains, and secondly, local conditions for Noetherian rings. In Chapter C we derive some structural results relating to the graded properties of the rings considered. The following classes of graded rings receive special attention: fully bounded Noetherian rings, birational extensions of commutative rings, rings satisfying polynomial identities, and Von Neumann regular rings. Here the basic idea is to derive results of ungraded nature from graded information. Some of these sections lead naturally to the study of sheaves over the projective spectrum Proj(R) of a positively graded ring, but we did not go into these topics here. We refer to [125] for a noncommutative treatment of projective geometry, i.e. the geometry of graded P.I. algebras.
Differential Geometric Methods In Mathematical Physics
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Author : Pedro L. Garcia
language : en
Publisher: Springer
Release Date : 2006-11-15
Differential Geometric Methods In Mathematical Physics written by Pedro L. Garcia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classical and quantized fields.
Commutative Algebra Methods For Coding Theory
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Author : Ştefan Ovidiu I. Tohăneanu
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-01
Commutative Algebra Methods For Coding Theory written by Ştefan Ovidiu I. Tohăneanu and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.
This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90’s, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.