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Author : D. M. Arnold
Publisher : Springer
ISBN 13 : 3540392343
Total Pages : 199 pages
Book Rating : 4.5/5 (43 download)
Download or read book Finite Rank Torsion Free Abelian Groups and Rings written by D. M. Arnold and published by Springer. This book was released on 2006-11-14 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David M. Arnold
Publisher : Springer Verlag
ISBN 13 : 9780387115573
Total Pages : 191 pages
Book Rating : 4.1/5 (155 download)
Download or read book Finite Rank Torsion Free Abelian Groups and Rings written by David M. Arnold and published by Springer Verlag. This book was released on 1982 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 1441987509
Total Pages : 256 pages
Book Rating : 4.4/5 (419 download)
Download or read book Abelian Groups and Representations of Finite Partially Ordered Sets written by David Arnold and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this book is an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals.
Author : Alberto Facchini
Publisher : CRC Press
ISBN 13 : 9780824750817
Total Pages : 530 pages
Book Rating : 4.7/5 (58 download)
Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini and published by CRC Press. This book was released on 2020-02-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
Author : Andrei V. Kelarev
Publisher : American Mathematical Soc.
ISBN 13 : 0821827510
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Abelian Groups, Rings and Modules written by Andrei V. Kelarev and published by American Mathematical Soc.. This book was released on 2001 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings from the conference on Abelian Groups, Rings, and Modules (AGRAM) held at the University of Western Australia (Perth). Included are articles based on talks given at the conference, as well as a few specially invited papers. The proceedings were dedicated to Professor László Fuchs. The book includes a tribute and a review of his work by his long-time collaborator, Professor Luigi Salce. Four surveys from leading experts follow Professor Salce's article. They present recent results from active research areas
Author : Theodore G. Faticoni
Publisher : CRC Press
ISBN 13 : 9781584887270
Total Pages : 344 pages
Book Rating : 4.8/5 (872 download)
Download or read book Direct Sum Decompositions of Torsion-Free Finite Rank Groups written by Theodore G. Faticoni and published by CRC Press. This book was released on 2007-03-28 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences. The book illustrates a new way of studying these groups while still honoring the rich history of unique direct sum decompositions of groups
Author : L. Fuchs
Publisher : Elsevier
ISBN 13 : 148328090X
Total Pages : 369 pages
Book Rating : 4.4/5 (832 download)
Download or read book Abelian Groups written by L. Fuchs and published by Elsevier. This book was released on 2014-07-15 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abelian Groups deals with the theory of abelian or commutative groups, with special emphasis on results concerning structure problems. More than 500 exercises of varying degrees of difficulty, with and without hints, are included. Some of the exercises illuminate the theorems cited in the text by providing alternative developments, proofs or counterexamples of generalizations. Comprised of 16 chapters, this volume begins with an overview of the basic facts on group theory such as factor group or homomorphism. The discussion then turns to direct sums of cyclic groups, divisible groups, and direct summands and pure subgroups, as well as Kulikov's basic subgroups. Subsequent chapters focus on the structure theory of the three main classes of abelian groups: the primary groups, the torsion-free groups, and the mixed groups. Applications of the theory are also considered, along with other topics such as homomorphism groups and endomorphism rings; the Schreier extension theory with a discussion of the group of extensions and the structure of the tensor product. In addition, the book examines the theory of the additive group of rings and the multiplicative group of fields, along with Baer's theory of the lattice of subgroups. This book is intended for young research workers and students who intend to familiarize themselves with abelian groups.
Author : Laszlo Fuchs
Publisher : CRC Press
ISBN 13 : 100011676X
Total Pages : 280 pages
Book Rating : 4.0/5 (1 download)
Download or read book Abelian Groups written by Laszlo Fuchs and published by CRC Press. This book was released on 2022-01-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains information offered at the international conference held in Curacao, Netherlands Antilles. It presents the latest developments in the most active areas of abelian groups, particularly in torsion-free abelian groups.;For both researchers and graduate students, it reflects the current status of abelian group theory.;Abelian Groups discusses: finite rank Butler groups; almost completely decomposable groups; Butler groups of infinite rank; equivalence theorems for torsion-free groups; cotorsion groups; endomorphism algebras; and interactions of set theory and abelian groups.;This volume contains contributions from international experts. It is aimed at algebraists and logicians, research mathematicians, and advanced graduate students in these disciplines.
Author : László Fuchs
Publisher : Springer
ISBN 13 : 3319194224
Total Pages : 762 pages
Book Rating : 4.3/5 (191 download)
Download or read book Abelian Groups written by László Fuchs and published by Springer. This book was released on 2015-12-12 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs. The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced set-theoretical methods in the study of un decidability problems. The treatment of the latter trend includes Shelah’s seminal work on the un decidability in ZFC of Whitehead’s Problem; while the treatment of the former trend includes an extensive (but non-exhaustive) study of p-groups, torsion-free groups, mixed groups and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology and homological algebra. An abundance of exercises are included to test the reader’s comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subject’s further development.
Author : Ross Allen Beaumont
Publisher : American Mathematical Soc.
ISBN 13 : 0821812386
Total Pages : 46 pages
Book Rating : 4.8/5 (218 download)
Download or read book Torsion Free Groups of Rank Two written by Ross Allen Beaumont and published by American Mathematical Soc.. This book was released on 1961 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.A. Krylov
Publisher : Springer Science & Business Media
ISBN 13 : 9401703450
Total Pages : 456 pages
Book Rating : 4.4/5 (17 download)
Download or read book Endomorphism Rings of Abelian Groups written by P.A. Krylov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eben Matlis
Publisher : University of Chicago Press
ISBN 13 : 9780226510743
Total Pages : 180 pages
Book Rating : 4.5/5 (17 download)
Download or read book Torsion-Free Modules written by Eben Matlis and published by University of Chicago Press. This book was released on 1972 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of torsion-free modules over an arbitrary integral domain arises naturally as a generalization of torsion-free abelian groups. In this volume, Eben Matlis brings together his research on torsion-free modules that has appeared in a number of mathematical journals. Professor Matlis has reworked many of the proofs so that only an elementary knowledge of homological algebra and commutative ring theory is necessary for an understanding of the theory. The first eight chapters of the book are a general introduction to the theory of torsion-free modules. This part of the book is suitable for a self-contained basic course on the subject. More specialized problems of finding all integrally closed D-rings are examined in the last seven chapters, where material covered in the first eight chapters is applied. An integral domain is said to be a D-ring if every torsion-free module of finite rank decomposes into a direct sum of modules of rank 1. After much investigation, Professor Matlis found that an integrally closed domain is a D-ring if, and only if, it is the intersection of at most two maximal valuation rings.
Author :
Publisher : Academic Press
ISBN 13 : 0080873480
Total Pages : 305 pages
Book Rating : 4.0/5 (88 download)
Download or read book Infinite Abelian Groups written by and published by Academic Press. This book was released on 1970-01-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite Abelian Groups
Author : A Mader
Publisher : CRC Press
ISBN 13 : 148228748X
Total Pages : 366 pages
Book Rating : 4.4/5 (822 download)
Download or read book Almost Completely Decomposable Groups written by A Mader and published by CRC Press. This book was released on 2000-03-09 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: An almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group. Examples are easy to write and are frequently used but have been notoriously difficult to study and classify because of their computational nature. However, a general theory o
Author : Lee Lady
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (331 download)
Download or read book Finite Rank Torsion Free Abelian Groups written by Lee Lady and published by . This book was released on 1974* with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pat Goeters
Publisher : CRC Press
ISBN 13 : 142001076X
Total Pages : 354 pages
Book Rating : 4.4/5 (2 download)
Download or read book Abelian Groups, Rings, Modules, and Homological Algebra written by Pat Goeters and published by CRC Press. This book was released on 2016-04-19 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the book In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the par
Author : R. Göbel
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.F/5 ( download)
Download or read book Abelian Group Theory written by R. Göbel and published by Lecture Notes in Mathematics. This book was released on 1981-07 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
