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Item Details
| Title:
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ENDOMORPHISM RINGS OF ABELIAN GROUPS
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| By: |
Piotr A. Krylov, A. V. Mikhalev, Askar A. Tuganbaev |
| Format: |
Paperback |
| List price:
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£90.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
9048163498 |
| ISBN 13: |
9789048163496 |
| Publisher: |
SPRINGER |
| Pub. date: |
2 December, 2010 |
| Edition: |
Softcover reprint of the original 1st ed. 2003 |
| Series: |
Algebra and Applications 2 |
| Pages: |
443 |
| Synopsis: |
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]. |
| Illustrations: |
biography |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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