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Classes of Good Noetherian Rings


Classes of Good Noetherian Rings


Frontiers in Mathematics

von: Cristodor Ionescu

58,84 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 28.03.2023
ISBN/EAN: 9783031222924
Sprache: englisch

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Beschreibungen

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&nbsp; Nagata, F-finite and excellent&nbsp;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.&nbsp;<i>Classes of Good Noetherian Rings</i>&nbsp;will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.
1.&nbsp;Fibres of Noetherian Rings.- 2.&nbsp;Nagata Rings and Reduced Morphisms.- 3.&nbsp;Excellent Rings and Regular Morphisms.- 4.&nbsp;Localization and Lifting Theorems.- 5.&nbsp;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&nbsp; Nagata, F-finite and excellent&nbsp;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.&nbsp;<i>Classes of Good Noetherian Rings</i>&nbsp;will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.
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

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