Almost Ring Theory
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Almost Ring Theory
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Author : Ofer Gabber
language : en
Publisher:
Release Date : 2014-01-15
Almost Ring Theory written by Ofer Gabber 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.
Almost Ring Theory
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Author : Ofer Gabber
language : en
Publisher: Springer
Release Date : 2003-12-15
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 2003-12-15 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.
Almost Ring Theory
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Author : Ofer Gabber
language : en
Publisher: Springer Science & Business Media
Release Date : 2003
Almost Ring Theory written by Ofer Gabber 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 2003 with Arithmetical algebraic geometry categories.
Near Rings The Theory And Its Applications
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-10-10
Near Rings The Theory And Its Applications written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Mathematics categories.
Near-rings: The Theory and its Applications
The Theory Of Near Rings
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Author : Robert Lockhart
language : en
Publisher: Springer Nature
Release Date : 2021-11-14
The Theory Of Near Rings written by Robert Lockhart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-14 with Mathematics categories.
This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.
Radical Theory Of Rings
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Author : J.W. Gardner
language : en
Publisher: CRC Press
Release Date : 2003-11-19
Radical Theory Of Rings written by J.W. Gardner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-19 with Mathematics categories.
Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.
Near Rings And Their Links With Groups
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Author : J. D. P. Meldrum
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1985
Near Rings And Their Links With Groups written by J. D. P. Meldrum and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Dimensions Of Ring Theory
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Author : C. Nastasescu
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-04-30
Dimensions Of Ring Theory written by C. 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 1987-04-30 with Mathematics categories.
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of s9phistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Ring Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 1988-06-01
Ring Theory written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06-01 with Mathematics categories.
Ring Theory V1
Foundations Of Module And Ring Theory
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Author : Robert Wisbauer
language : en
Publisher: Routledge
Release Date : 2018-05-11
Foundations Of Module And Ring Theory written by Robert Wisbauer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-11 with Mathematics categories.
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.