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＜電子ブック＞
Classes of Good Noetherian Rings / by Cristodor Ionescu
(Frontiers in Mathematics. ISSN:16608054)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XIV, 480 p. 1 illus. in color : online resource
著者標目	*Ionescu, Cristodor author SpringerLink (Online service)
件　名	LCSH:Commutative algebra LCSH:Commutative rings FREE:Commutative Rings and Algebras
一般注記	1. Fibres of Noetherian Rings -- 2. Nagata Rings and Reduced Morphisms -- 3. Excellent Rings and Regular Morphisms -- 4. Localization and Lifting Theorems -- 5. Structure of Regular Morphisms -- 6. Further Results on Classes of Good Rings This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescu’s Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory HTTP:URL=https://doi.org/10.1007/978-3-031-22292-4

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