Endomorphism Rings of Abelian Groups is popular PDF and ePub book, written by P.A. Krylov in 2013-06-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Endomorphism Rings of Abelian Groups can be Read Online from any device for your convenience.
Endomorphism Rings of Abelian Groups Book PDF Summary
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].
Detail Book of Endomorphism Rings of Abelian Groups PDF
- Author : P.A. Krylov
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401703451
- Genre : Mathematics
- Total Page : 456 pages
- Language : English
- PDF File Size : 13,7 Mb
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