| 書目名稱 | Foundations of Commutative Rings and Their Modules | | 編輯 | Fanggui Wang,Hwankoo Kim | | 視頻video | http://file.papertrans.cn/347/346912/346912.mp4 | | 概述 | Provides a self-contained treatment of commutative ring theory at the graduate level.Deals with recent hot topics including w-operation theory (which is related to a special torsion theory) and relati | | 叢書名稱 | Algebra and Applications | | 圖書封面 |  | | 描述 | This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that the topics covered are ones that usually are included in any commutative algebra text. However, the contents of this book differ significantly from most commutative algebra texts: namely, its treatment of the Dedekind–Mertens formula, the (small) finitistic dimension of a ring, Gorenstein rings, valuation overrings and the valuative dimension, and Nagata rings. Going further, Chapter 6 presents w-modules over commutative rings as they can be most commonly used by torsion theory and multiplicative ideal theory. Chapter 7 deals with multiplicative ideal theory over integral domains. Chapter 8 collects various results of the pullbacks, especially Milnor squares and D+M constructions, which are probably the most important example-generating machines. In Chapter 9, coherent rings with finite weak global dimensions are probed, and thelocal ring of weak global dimension two is elaborated on by combining homological tricks and methods of star operation theory. Chapter 10 is devoted to the Grothendieck group of a commutative ring. In | | 出版日期 | Book 20161st edition | | 關(guān)鍵詞 | (Classical) commutative ring theory; Multiplicative ideal theory; W-theory; Relative homological algebr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-10-3337-7 | | isbn_softcover | 978-981-10-9846-8 | | isbn_ebook | 978-981-10-3337-7Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer Nature Singapore Pte Ltd. 2016 |
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