| 书目名称 | Rings, Modules, and the Total | | 编辑 | Friedrich Kasch,Adolf Mader | | 视频video | | | 概述 | Accessible to anyone with a basic knowledge of ring and module theory.A short introduction to torsion-free Abelian groups is included | | 丛书名称 | Frontiers in Mathematics | | 图书封面 |  | | 描述 | .In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of "partially invertible homomorphisms”, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The "total” consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.. | | 出版日期 | Book 2004 | | 关键词 | Algebra; Group Theory; Modules; Rings; Abelian group; algebra; endomorphism ring; Group theory; homomorphism | | 版次 | 1 | | doi | https://doi.org/10.1007/b96769 | | isbn_softcover | 978-3-7643-7125-8 | | isbn_ebook | 978-3-7643-7801-1Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Springer Basel AG 2004 |
The information of publication is updating
书目名称Rings, Modules, and the Total影响因子(影响力)
书目名称Rings, Modules, and the Total影响因子(影响力)学科排名
书目名称Rings, Modules, and the Total网络公开度
书目名称Rings, Modules, and the Total网络公开度学科排名
书目名称Rings, Modules, and the Total被引频次
书目名称Rings, Modules, and the Total被引频次学科排名
书目名称Rings, Modules, and the Total年度引用
书目名称Rings, Modules, and the Total年度引用学科排名
书目名称Rings, Modules, and the Total读者反馈
书目名称Rings, Modules, and the Total读者反馈学科排名
|
|
|
发表于 2025-3-21 16:20:23
