Semilocal Categories And Modules With Semilocal Endomorphism Rings
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Author |
: Alberto Facchini |
Publisher |
: Springer Nature |
Total Pages |
: 463 |
Release |
: 2019-10-23 |
ISBN-10 |
: 9783030232849 |
ISBN-13 |
: 3030232840 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Semilocal Categories and Modules with Semilocal Endomorphism Rings by : Alberto Facchini
This book collects and coherently presents the research that has been undertaken since the author’s previous book Module Theory (1998). In addition to some of the key results since 1995, it also discusses the development of much of the supporting material. In the twenty years following the publication of the Camps-Dicks theorem, the work of Facchini, Herbera, Shamsuddin, Puninski, Prihoda and others has established the study of serial modules and modules with semilocal endomorphism rings as one of the promising directions for module-theoretic research. Providing readers with insights into the directions in which the research in this field is moving, as well as a better understanding of how it interacts with other research areas, the book appeals to undergraduates and graduate students as well as researchers interested in algebra.
Author |
: Sergio R. López-Permouth |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 298 |
Release |
: 2018-09-06 |
ISBN-10 |
: 9781470435554 |
ISBN-13 |
: 1470435551 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Advances in Rings and Modules by : Sergio R. López-Permouth
This volume, dedicated to Bruno J. Müller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.
Author |
: |
Publisher |
: Elsevier |
Total Pages |
: 1185 |
Release |
: 2003-10-15 |
ISBN-10 |
: 9780080532974 |
ISBN-13 |
: 0080532977 |
Rating |
: 4/5 (74 Downloads) |
Synopsis Handbook of Algebra by :
Handbook of Algebra
Author |
: Alexander V. Mikhalev |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 629 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9789401732673 |
ISBN-13 |
: 9401732671 |
Rating |
: 4/5 (73 Downloads) |
Synopsis The Concise Handbook of Algebra by : Alexander V. Mikhalev
It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.
Author |
: László Fuchs |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 633 |
Release |
: 2001 |
ISBN-10 |
: 9780821819630 |
ISBN-13 |
: 0821819631 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Modules over Non-Noetherian Domains by : László Fuchs
In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prüfer domains, but also discuss Krull and Matlis domains, h-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.
Author |
: A. Granja |
Publisher |
: CRC Press |
Total Pages |
: 366 |
Release |
: 2001-05-08 |
ISBN-10 |
: 0203907965 |
ISBN-13 |
: 9780203907962 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Ring Theory And Algebraic Geometry by : A. Granja
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.
Author |
: Alberto Facchini |
Publisher |
: Springer Nature |
Total Pages |
: 341 |
Release |
: 2020-06-02 |
ISBN-10 |
: 9783030434168 |
ISBN-13 |
: 3030434168 |
Rating |
: 4/5 (68 Downloads) |
Synopsis Advances in Rings, Modules and Factorizations by : Alberto Facchini
Occasioned by the international conference "Rings and Factorizations" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra. A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches.
Author |
: P.A. Krylov |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 456 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9789401703451 |
ISBN-13 |
: 9401703450 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Endomorphism Rings of Abelian Groups by : P.A. Krylov
Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms. Recently the theory of endomor phism rings of Abelian groups has become a rapidly developing area of algebra. On the one hand, it can be considered as a part of the theory of Abelian groups; on the other hand, the theory can be considered as a branch of the theory of endomorphism rings of modules and the representation theory of rings. There are several reasons for studying endomorphism rings of Abelian groups: first, it makes it possible to acquire additional information about Abelian groups themselves, to introduce new concepts and methods, and to find new interesting classes of groups; second, it stimulates further develop ment of the theory of modules and their endomorphism rings. The theory of endomorphism rings can also be useful for studies of the structure of additive groups of rings, E-modules, and homological properties of Abelian groups. The books of Baer [52] and Kaplansky [245] have played an important role in the early development of the theory of endomorphism rings of Abelian groups and modules. Endomorphism rings of Abelian groups are much stu died in monographs of Fuchs [170], [172], and [173]. Endomorphism rings are also studied in the works of Kurosh [287], Arnold [31], and Benabdallah [63].
Author |
: Alberto Facchini |
Publisher |
: World Scientific |
Total Pages |
: 404 |
Release |
: 2006 |
ISBN-10 |
: 9789812565983 |
ISBN-13 |
: 9812565981 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Algebras, Rings and Their Representations by : Alberto Facchini
Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.
Author |
: Alberto Facchini |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 296 |
Release |
: 2012-02-03 |
ISBN-10 |
: 9783034803038 |
ISBN-13 |
: 3034803036 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Module Theory by : Alberto Facchini
This book presents topics in module theory and ring theory: some, such as Goldie dimension and semiperfect rings are now considered classical and others more specialized, such as dual Goldie dimension, semilocal endomorphism rings, serial rings and modules.