Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers
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Author |
: Ashish K. Srivastava |
Publisher |
: Cambridge University Press |
Total Pages |
: 235 |
Release |
: 2021-03-18 |
ISBN-10 |
: 9781108949538 |
ISBN-13 |
: 1108949533 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Invariance of Modules under Automorphisms of their Envelopes and Covers by : Ashish K. Srivastava
Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.
Author |
: Ashish K. Srivastava |
Publisher |
: Cambridge University Press |
Total Pages |
: 235 |
Release |
: 2021-03-18 |
ISBN-10 |
: 9781108960168 |
ISBN-13 |
: 1108960162 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Invariance of Modules under Automorphisms of their Envelopes and Covers by : Ashish K. Srivastava
The theory of invariance of modules under automorphisms of their envelopes and covers has opened up a whole new direction in the study of module theory. It offers a new perspective on generalizations of injective, pure-injective and flat-cotorsion modules beyond relaxing conditions on liftings of homomorphisms. This has set off a flurry of work in the area, with hundreds of papers using the theory appearing in the last decade. This book gives the first unified treatment of the topic. The authors are real experts in the area, having played a major part in the breakthrough of this new theory and its subsequent applications. The first chapter introduces the basics of ring and module theory needed for the following sections, making it self-contained and suitable for graduate students. The authors go on to develop and explain their tools, enabling researchers to employ them, extend and simplify known results in the literature and to solve longstanding problems in module theory, many of which are discussed at the end of the book.
Author |
: J.R. Garcia Rozas |
Publisher |
: CRC Press |
Total Pages |
: 160 |
Release |
: 1999-05-11 |
ISBN-10 |
: 158488004X |
ISBN-13 |
: 9781584880042 |
Rating |
: 4/5 (4X Downloads) |
Synopsis Covers and Envelopes in the Category of Complexes of Modules by : J.R. Garcia Rozas
Over the last few years, the study of complexes has become increasingly important. To date, however, most of the research is scattered throughout the literature or available only as lecture notes. Covers and Envelopes in the Category of Complexes of Modules collects these scattered notes and results into a single, concise volume that provides an account of recent developments in the theory and presents several new and important ideas. The author introduces the theory of complexes of modules using only elementary tools-making the field more accessible to non-specialists. He focuses the study on envelopes and covers in this category with respect to some well established and important classes of complexes. He places particular emphasis on DG-injective and DG-projective complexes and flat and DG-flat covers. Other topics covered include Zorn's Lemma for categories, preserving and reflecting covers by functors, orthogonality in the category of complexes, Gorenstein injective and projective complexes, and pure sequences of complexes. Along with its value as a collection of recent work in the field, Covers and Envelopes in the Category of Complexes of Modules presents powerful new ideas that will undoubtedly advance homological methods. Mathematicians-especially researchers in module theory and homological algebra-will welcome this volume as a reference guide and for its new and important results.
Author |
: S. C. Coutinho |
Publisher |
: Cambridge University Press |
Total Pages |
: 223 |
Release |
: 1995-09-07 |
ISBN-10 |
: 9780521551199 |
ISBN-13 |
: 0521551196 |
Rating |
: 4/5 (99 Downloads) |
Synopsis A Primer of Algebraic D-Modules by : S. C. Coutinho
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.
Author |
: |
Publisher |
: |
Total Pages |
: 120 |
Release |
: 2005 |
ISBN-10 |
: UCSD:31822041761958 |
ISBN-13 |
: |
Rating |
: 4/5 (58 Downloads) |
Synopsis Toyama Mathematical Journal by :
Author |
: Pierre Simon |
Publisher |
: Cambridge University Press |
Total Pages |
: 165 |
Release |
: 2015-07-16 |
ISBN-10 |
: 9781107057753 |
ISBN-13 |
: 1107057752 |
Rating |
: 4/5 (53 Downloads) |
Synopsis A Guide to NIP Theories by : Pierre Simon
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
Author |
: |
Publisher |
: |
Total Pages |
: 974 |
Release |
: 2004 |
ISBN-10 |
: UOM:39015055144722 |
ISBN-13 |
: |
Rating |
: 4/5 (22 Downloads) |
Synopsis Mathematical Reviews by :
Author |
: Elias G. Katsoulis |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 100 |
Release |
: 2019-04-10 |
ISBN-10 |
: 9781470435455 |
ISBN-13 |
: 1470435454 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Crossed Products of Operator Algebras by : Elias G. Katsoulis
The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their generic results with the detailed study of many important special cases. In particular they study crossed products of tensor algebras, triangular AF algebras and various associated C -algebras. They make contributions to the study of C -envelopes, semisimplicity, the semi-Dirichlet property, Takai duality and the Hao-Ng isomorphism problem. They also answer questions from the pertinent literature.
Author |
: Kevin Costello |
Publisher |
: Cambridge University Press |
Total Pages |
: 399 |
Release |
: 2017 |
ISBN-10 |
: 9781107163102 |
ISBN-13 |
: 1107163102 |
Rating |
: 4/5 (02 Downloads) |
Synopsis Factorization Algebras in Quantum Field Theory by : Kevin Costello
This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.
Author |
: S. Chmutov |
Publisher |
: Cambridge University Press |
Total Pages |
: 521 |
Release |
: 2012-05-24 |
ISBN-10 |
: 9781107020832 |
ISBN-13 |
: 1107020832 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Introduction to Vassiliev Knot Invariants by : S. Chmutov
A detailed exposition of the theory with an emphasis on its combinatorial aspects.