Almost Completely Decomposable Groups

Almost Completely Decomposable Groups PDF Author: A Mader
Publisher: CRC Press
ISBN: 148228748X
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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

Almost Completely Decomposable Groups

Almost Completely Decomposable Groups PDF Author: A Mader
Publisher: CRC Press
ISBN: 148228748X
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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

Almost Completely Decomposable Groups

Almost Completely Decomposable Groups PDF Author: A Mader
Publisher: CRC Press
ISBN: 9789056992255
Category : Mathematics
Languages : en
Pages : 370

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Book Description
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 of acd groups has been developed and a suitable weakening of isomorphism, Lady's near-isomorphism, has been established as the rightconcept for studying acd groups. A number of important classes of acd groups has been successfully classified. Direct sum decompositions of acd groups are preserved under near-isomorphism and the well-known pathological decompositions can actually be surveyed in special cases.

Abelian Groups and Representations of Finite Partially Ordered Sets

Abelian Groups and Representations of Finite Partially Ordered Sets PDF 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.

Abelian Groups and Modules

Abelian Groups and Modules PDF Author: Alberto Facchini
Publisher: Springer Science & Business Media
ISBN: 9401104433
Category : Mathematics
Languages : en
Pages : 521

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Book Description
On the 26th of November 1992 the organizing committee gathered together, at Luigi Salce's invitation, for the first time. The tradition of abelian groups and modules Italian conferences (Rome 77, Udine 85, Bressanone 90) needed to be kept up by one more meeting. Since that first time it was clear to us that our goal was not so easy. In fact the main intended topics of abelian groups, modules over commutative rings and non commutative rings have become so specialized in the last years that it looked really ambitious to fit them into only one meeting. Anyway, since everyone of us shared the same mathematical roots, we did want to emphasize a common link. So we elaborated the long symposium schedule: three days of abelian groups and three days of modules over non commutative rings with a two days' bridge of commutative algebra in between. Many of the most famous names in these fields took part to the meeting. Over 140 participants, both attending and contributing the 18 Main Lectures and 64 Communications (see list on page xv) provided a really wide audience for an Algebra meeting. Now that the meeting is over, we can say that our initial feeling was right.

Abelian Groups and Modules

Abelian Groups and Modules PDF 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.

Abelian Groups

Abelian Groups PDF Author: Laszlo Fuchs
Publisher: CRC Press
ISBN: 100011676X
Category : Mathematics
Languages : en
Pages : 280

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Book Description
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.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 872

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Rendiconti Del Seminario Matematico Della Università Di Padova

Rendiconti Del Seminario Matematico Della Università Di Padova PDF Author: Università di Padova. Seminario matematico
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 510

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Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups PDF 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

Mathematical Proceedings of the Royal Irish Academy

Mathematical Proceedings of the Royal Irish Academy PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 230

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Book Description