Description

Book Synopsis
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.

Table of 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.

Classes of Good Noetherian Rings

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    A Paperback / softback by Cristodor Ionescu

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      Publisher: Birkhauser Verlag AG
      Publication Date: 29/03/2023
      ISBN13: 9783031222917, 978-3031222917
      ISBN10: 3031222911
      Also in:
      Algebra

      Description

      Book Synopsis
      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.

      Table of 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.

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