Rings, Modules, Algebras, and Abelian Groups PDF Download

Author: Alberto Facchini
Publisher: CRC Press
ISBN: 9780824750817
Category : Mathematics
Languages : en
Pages : 530

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Book Description
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: K.M. Rangaswamy
Publisher: CRC Press
ISBN: 9780824797898
Category : Mathematics
Languages : en
Pages : 434

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Book Description
Contains the proceedings of an international conference on abelian groups and modules held recently in Colorado Springs. Presents the latest developments in abelian groups that have facilitated cross-fertilization of new techniques from diverse areas such as the representation theory of posets, model theory, set theory, and module theory.

Author: Dikran Dikranjan
Publisher: CRC Press
ISBN: 0429530064
Category : Mathematics
Languages : en
Pages : 381

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Book Description
Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. Investigates currently popular topics such as Butler groups and almost completely decomposable groups.

Author: Pat Goeters
Publisher: CRC Press
ISBN: 9781420010763
Category : Mathematics
Languages : en
Pages : 360

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Book Description
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 participants of these talks along with contributions from other veteran researchers who were unable to attend. These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory. Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future study. This volume is an outstanding addition to the literature and a valuable handbook for beginning as well as seasoned researchers in Algebra. about the editors... H. PAT GOETERS completed his undergraduate studies in mathematics and computer science at Southern Connecticut State University and received his Ph.D. in 1984 from the University of Connecticut under the supervision of William J. Wickless. After spending one year in a post-doctoral position in Wesleyan University under the tutelage of James D. Reid, Goeters was invited for a tenure track position in Auburn University by Ulrich F. Albrecht. Soon afterwards, William Ullery and Overtoun Jenda were hired, and so began a lively Algebra group. OVERTOUN M. G. JENDA received his bachelor's degree in Mathematics from Chancellor College, the University of Malawi. He moved to the U.S. 1977 to pursue graduate studies at University of Kentucky, earning his Ph.D. in 1981 under the supervision of Professor Edgar Enochs. He then returned to Chancellor College, where he was a lecturer (assistant professor) for three years. He moved to the University of Botswana for another three-year stint as a lecturer before moving back to the University of Kentucky as a visiting assistant professor in 1987. In 1988, he joined the Algebra research group at Auburn University.

Author: Paul C. Eklof
Publisher: Springer Science & Business Media
ISBN: 9783764361723
Category : Mathematics
Languages : en
Pages : 402

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Book Description
This volume contains the refereed proceedings of the International Conference on Abelian Groups and Modules held at the Dublin Institute of Technology in Ireland, from August 10 until August 14, 1998. The meeting brought together more than 50 researchers and graduate students from 14 countries around the world. In a series of eight invited survey talks, experts in the field presented several active areas of research, including:· Almost completely decomposable abelian groups, Butler groups and almost free groups nbsp;â the classification problem, and invariants of special classes of torsion-free abelian groups.· Totally projective groups, their automorphism groups and their group rings â questions about unique passage between these categories.· Radicals commuting with products.· The Ziegler spectra of Neumann regular rings and the class (semi-) groups of PrÃ1⁄4fer domains.· The Krull-Schmidt property for valuation domains.These main talks were accompanied by many other presentations of current research on abelian groups and modules. Methods from model theory, category theory, infinite combinatorics, representation theory, classical algebra and geometry were applied to the study of abelian groups and modules; conversely, results and methods from abelian group theory were applied to general module theory and non-commutative groups.All this is reflected in the 30 articles in this volume, which introduce the reader to an active and attractive part of algebra that over the years has gained much from its position at the crossroads of mathematics. Lively discussions at the conference influenced the final work on the presented papers, which convey some sense of the intellectual ferment they generated and stimulate the reader to consider and actively investigate the topics and problems contained therein.

Author: Andrei V. Kelarev
Publisher: American Mathematical Soc.
ISBN: 0821827510
Category : Abelian groups
Languages : en
Pages : 322

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Book Description
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: Paul C. Eklof
Publisher: Birkhäuser
ISBN: 3034875916
Category : Mathematics
Languages : en
Pages : 374

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Book Description
A 30-article volume, introducing an active and attractive part of algebra that has gained much from its position at the crossroads of mathematics over the years. The papers stimulate the reader to consider and actively investigate the topics and problems they contain.

Author: David Arnold
Publisher: Springer Science & Business Media
ISBN: 1441987509
Category : Mathematics
Languages : en
Pages : 256

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Book Description
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: Carol Jacoby
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110427680
Category : Mathematics
Languages : en
Pages : 342

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Book Description
This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed.

Author: Paul C. Eklof
Publisher: Birkhäuser
ISBN: 9783764361723
Category : Mathematics
Languages : en
Pages : 377

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Book Description
A 30-article volume, introducing an active and attractive part of algebra that has gained much from its position at the crossroads of mathematics over the years. The papers stimulate the reader to consider and actively investigate the topics and problems they contain.