| 书目名称 | Extensions of Rings and Modules | | 编辑 | Gary F. Birkenmeier,Jae Keol Park,S Tariq Rizvi | | 视频video | | | 概述 | First research monograph to explore in detail the "extensions" of rings and modules.Begins with basic notions, terminology, definitions and a description of the classes of rings and modules covered in | | 图书封面 |  | | 描述 | .The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions. The first four chapters of the book discuss rings and modules which generalize injectivity (e.g., extending modules), or for which certain annihilators become direct summands (e.g., Baer rings). Ring extensions such as matrix, polynomial, group ring, and essential extensions of rings from the aforementioned classes are considered in the next three chapters. A theory of ring and module hulls relative to a specific class of rings or modules is introduced and developed in the following two chapters. While applications of the results presented can be found throughout the book, the final chapter mainly consists of applications to algebra and functional analysis. These include obtaining characterizations of rings of quotients as direct products of prime rings and descriptions of certain C*-algebras via (quasi-)Baer rings. . .Extensions of Rings and Modules. introduces for the first time in book form:.* Baer, quasi-Baer, and Rickart modules .* The theory of generalized triangular matrix rings via sets of triangulating idempotents.* A discussion of | | 出版日期 | Textbook 2013 | | 关键词 | Algebra; Baer; C*-Algebras; Functional Analysis; Hull; Matrix Theory; Multilinear Algebra; Triangular Matri | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-92716-9 | | isbn_softcover | 978-1-4899-9714-2 | | isbn_ebook | 978-0-387-92716-9 | | copyright | Springer Science+Business Media New York 2013 |
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发表于 2025-3-21 18:15:10
