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Classes of good Noetherian rings

Ionescu, Cristodor.

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Classes of good Noetherian rings

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Classes of good Noetherian rings/ by Cristodor Ionescu.
作者:	Ionescu, Cristodor.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xiv, 480 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Noetherian rings. -
電子資源:	https://doi.org/10.1007/978-3-031-22292-4
ISBN:	9783031222924

Classes of good Noetherian rings
Ionescu, Cristodor.

Classes of good Noetherian rings[electronic resource] /by Cristodor Ionescu. - Cham :Springer International Publishing :2023. - xiv, 480 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

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.

ISBN: 9783031222924

Standard No.: 10.1007/978-3-031-22292-4doiSubjects--Topical Terms:

728598
Noetherian rings.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

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100 1 $a Ionescu, Cristodor. $3 3632335
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505 0 $a 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.
520 $a 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.
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