Classes of Good Noetherian Rings / by Cristodor Ionescu.

Format:

Book

Author/Creator:

Ionescu, Cristodor, author.

Series:

Frontiers in Mathematics, 1660-8054

Language:

English

Subjects (All):

Commutative algebra.

Commutative rings.

Commutative Rings and Algebras.

Local Subjects:

Commutative Rings and Algebras.

Physical Description:

1 online resource (487 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references.

Other Format:

Print version: Ionescu, Cristodor Classes of Good Noetherian Rings

ISBN:

9783031222924

OCLC:

1374430799