| 書目名稱 | Endomorphism Rings of Abelian Groups | | 編輯 | Piotr A. Krylov,Alexander V. Mikhalev,Askar A. Tug | | 視頻video | http://file.papertrans.cn/310/309835/309835.mp4 | | 叢書名稱 | Algebra and Applications | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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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