Endomorphism Rings of Abelian Groups: 2 (Algebra and Applications, 2) - Tapa dura

Libro 2 de 29: Algebra and Applications

Mikhalev, Alexander V.; Tuganbaev, Askar; Krylov, P.A.

 
9781402014383: Endomorphism Rings of Abelian Groups: 2 (Algebra and Applications, 2)
Tapa dura
ISBN 10: 1402014384 ISBN 13: 9781402014383
Editorial: Springer, 2003

Sinopsis

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].

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Acerca del autor

Askar Tuganbaev received his Ph.D. at the Moscow State University in 1978 and has been a professor at Moscow Power Engineering Institute (Technological University) since 1978. He is the author of three other monographs on ring theory and has written numerous articles on ring theory.

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Editorial
Springer
Año de publicación
2003
Idioma
Inglés
ISBN 10 
1402014384
ISBN 13 
9781402014383
Encuadernación
Tapa dura
Número de páginas
456
Contacto del fabricante
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Poststr. 9
Darmstadt
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Alemania

Otras ediciones populares con el mismo título

9789048163496: Endomorphism Rings of Abelian Groups: 2 (Algebra and Applications)

Edición Destacada

ISBN 10:  9048163498 ISBN 13:  9789048163496
Editorial: Springer, 2010
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