| 书目名称 | Formal Matrices | | 编辑 | Piotr Krylov,Askar Tuganbaev | | 视频video | | | 概述 | Provides the first systematic treatment of formal matrices in a single volume.Examines injective, flat, projective and hereditary modules over formal matrix rings of order 2 in great detail.Includes c | | 丛书名称 | Algebra and Applications | | 图书封面 |  | | 描述 | This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory..While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings..Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, .Formal Matrices. is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.. | | 出版日期 | Book 2017 | | 关键词 | formal matrix; generalized matrix; Morita context; Grothendieck group; Whitehead group; injective module; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-53907-2 | | isbn_softcover | 978-3-319-85272-0 | | isbn_ebook | 978-3-319-53907-2Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 17:24:42
