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Titlebook: Module Theory, Extending Modules and Generalizations; Adnan Tercan,Canan C. Yücel Book 2016 Springer International Publishing Switzerland

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發(fā)表于 2025-3-21 18:11:33 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Module Theory, Extending Modules and Generalizations
編輯Adnan Tercan,Canan C. Yücel
視頻videohttp://file.papertrans.cn/638/637933/637933.mp4
概述Provides a comprehensive introduction to module theory with clear explanations.Complements results on CS-modules and CS-rings from former monographs addressing this trend.Presents cutting-edge researc
叢書(shū)名稱Frontiers in Mathematics
圖書(shū)封面Titlebook: Module Theory, Extending Modules and Generalizations;  Adnan Tercan,Canan C. Yücel Book 2016 Springer International Publishing Switzerland
描述.The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings.?Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature..With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area..Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises..
出版日期Book 2016
關(guān)鍵詞C11-module; CS-module; Goldie extending ring; injective module; triangular matrix ring
版次1
doihttps://doi.org/10.1007/978-3-0348-0952-8
isbn_softcover978-3-0348-0950-4
isbn_ebook978-3-0348-0952-8Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightSpringer International Publishing Switzerland 2016
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Adnan Tercan,Canan C. YücelProvides a comprehensive introduction to module theory with clear explanations.Complements results on CS-modules and CS-rings from former monographs addressing this trend.Presents cutting-edge researc
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Module Theory, Extending Modules and Generalizations978-3-0348-0952-8Series ISSN 1660-8046 Series E-ISSN 1660-8054
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1660-8046 nographs addressing this trend.Presents cutting-edge researc.The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings.?Extending (or CS) modules are generalizations of injective (and also semisimple or un
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1660-8046 ound out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises..978-3-0348-0950-4978-3-0348-0952-8Series ISSN 1660-8046 Series E-ISSN 1660-8054
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