| 书目名称 | Endomorphism Rings of Abelian Groups | | 编辑 | Piotr A. Krylov,Alexander V. Mikhalev,Askar A. Tug | | 视频video | | | 丛书名称 | Algebra and Applications | | 图书封面 |  | | 描述 | 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 di | | 出版日期 | Book 2003 | | 关键词 | Abelian group; algebra; endomorphism ring; torsion | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-0345-1 | | isbn_softcover | 978-90-481-6349-6 | | isbn_ebook | 978-94-017-0345-1Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer Science+Business Media Dordrecht 2003 |
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发表于 2025-3-21 18:43:50
