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Author: E. S. Li͡apin
Publisher:
ISBN:
Category : Functions, Abelian
Languages : en
Pages : 60
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Author: E. S. Li͡apin
Publisher:
ISBN:
Category : Functions, Abelian
Languages : en
Pages : 60
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Book Description
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
Author: L. Fuchs
Publisher: Elsevier
ISBN: 148328090X
Category : Mathematics
Languages : en
Pages : 369
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Book Description
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: Vyacheslav L. Girko
Publisher: Academic Press
ISBN: 0080873499
Category : Computers
Languages : en
Pages : 375
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Book Description
Spectral Theory of Random Matrices
Author: S. N. Cernikov
Publisher: American Mathematical Soc.
ISBN: 9780821816011
Category : Mathematics
Languages : en
Pages : 486
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Book Description
Author: D. Valcan
Publisher: Springer Science & Business Media
ISBN: 9401703396
Category : Mathematics
Languages : en
Pages : 353
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Book Description
This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania. From 1992,these lectures were extended to a twosemester electivecourse on abelian groups for undergraduate stu dents, followed by a twosemester course on the same topic for graduate students in Algebra. All the other authors attended these two years of lectures and are now Assistants to the Chair of Algebra of this Fac ulty. The first draft of this collection, including only exercises solved by students as home works, the last ten years, had 160pages. We felt that there is a need for a book such as this one, because it would provide a nice bridge between introductory Abelian Group Theory and more advanced research problems. The book InfiniteAbelianGroups, published by LaszloFuchsin two volumes 1970 and 1973 willwithout doubt last as the most important guide for abelian group theorists. Many exercises are selected from this source but there are plenty of other bibliographical items (see the Bibliography) which were used in order to make up this collection. For some of the problems stated, recent developments are also given. Nevertheless, there are plenty of elementary results (the so called 'folklore') in Abelian Group Theory whichdo not appear in any written material. It is also one purpose of this book to complete this gap.
Author: Irving Kaplansky
Publisher: Courier Dover Publications
ISBN: 0486836452
Category : Mathematics
Languages : en
Pages : 112
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Book Description
This concise monograph presents the theory of infinite abelian groups in a convenient form and helps students acquire some of the techniques used in modern infinite algebra. 1969 edition.
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.
Author: Brookhaven National Laboratory
Publisher:
ISBN:
Category : Russian periodicals
Languages : en
Pages : 622
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Author:
Publisher:
ISBN:
Category : Russian periodicals
Languages : en
Pages : 64
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