Classes of Good Noetherian Rings

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Provides a thorough examination of several classes of Noetherian rings and morphisms of Noetherian local rings

Serves as a valuable resource for researchers in commutative algebra, with important results collected in one volume

Covers state-of-the-art developments, particularly in the theory of fibres of morphisms

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2023
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Frontiers in Mathematics
Inhalt:	xiv 480 S. 1 farbige Illustr. 480 p. 1 illus. in color.
ISBN-13:	9783031222917
ISBN-10:	3031222911
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ionescu, Cristodor
Hersteller:	Birkhäuser Palgrave Macmillan Springer International Publishing AG Frontiers in Mathematics
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	240 x 168 x 27 mm
Von/Mit:	Cristodor Ionescu
Erscheinungsdatum:	29.03.2023
Gewicht:	0,824 kg