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＜E-Book＞
Classes of Good Noetherian Rings / by Cristodor Ionescu
(Frontiers in Mathematics. ISSN:16608054)

Edition	1st ed. 2023.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2023
Language	English
Size	XIV, 480 p. 1 illus. in color : online resource
Authors	*Ionescu, Cristodor author SpringerLink (Online service)
Subjects	LCSH:Commutative algebra LCSH:Commutative rings FREE:Commutative Rings and Algebras
Notes	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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