Arithmetical Rings And Endomorphisms

Author : Askar Tuganbaev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110659158
Total Pages : 288 pages
Book Rating : 4.53/5 ( download)

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Download or read book Arithmetical Rings and Endomorphisms written by Askar Tuganbaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.

Author : Askar A. Tuganbaev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110659824
Total Pages : 175 pages
Book Rating : 4.25/5 ( download)

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Download or read book Arithmetical Rings and Endomorphisms written by Askar A. Tuganbaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-04 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive account of not necessarily commutative arithmetical rings, examining structural and homological properties of modules over arithmetical rings and summarising the interplay between arithmetical rings and other rings, whereas modules with extension properties of submodule endomorphisms are also studied in detail. Graduate students and researchers in ring and module theory will find this book particularly valuable.

Author : P.A. Krylov
Publisher : Springer Science & Business Media
ISBN 13 : 9401703450
Total Pages : 456 pages
Book Rating : 4.51/5 ( download)

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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 : Nathan Jacobson
Publisher : American Mathematical Soc.
ISBN 13 : 0821815024
Total Pages : 160 pages
Book Rating : 4.21/5 ( download)

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Download or read book The Theory of Rings written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.

Author : P. A. Krylov
Publisher :
ISBN 13 : 9789401703468
Total Pages : 458 pages
Book Rating : 4.69/5 ( download)

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Download or read book Endomorphism Rings of Abelian Groups written by P. A. Krylov and published by . This book was released on 2014-01-15 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Askar Tuganbaev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311070224X
Total Pages : 150 pages
Book Rating : 4.48/5 ( download)

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Download or read book Laurent Series Rings and Related Rings written by Askar Tuganbaev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-09-21 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, ring-theoretical properties of skew Laurent series rings A((x; φ)) over a ring A, where A is an associative ring with non-zero identity element are described. In addition, we consider Laurent rings and Malcev-Neumann rings, which are proper extensions of skew Laurent series rings.

Author : Theodore Gerard Faticoni
Publisher :
ISBN 13 : 9781470400699
Total Pages : 140 pages
Book Rating : 4.93/5 ( download)

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Download or read book Categories of Modules Over Endomorphism Rings written by Theodore Gerard Faticoni and published by . This book was released on 1993 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Neal Henry McCoy
Publisher : Chelsea Publishing Company, Incorporated
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.29/5 ( download)

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Download or read book The Theory of Rings written by Neal Henry McCoy and published by Chelsea Publishing Company, Incorporated. This book was released on 1973 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Scott T. Chapman
Publisher : CRC Press
ISBN 13 : 1420028243
Total Pages : 410 pages
Book Rating : 4.49/5 ( download)

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Download or read book Arithmetical Properties of Commutative Rings and Monoids written by Scott T. Chapman and published by CRC Press. This book was released on 2005-03-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the w

Author : Nathan Jacobson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821874707
Total Pages : 314 pages
Book Rating : 4.05/5 ( download)

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Download or read book Structure of Rings written by Nathan Jacobson and published by American Mathematical Soc.. This book was released on 1956-12-31 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: