Classes of Good Noetherian Rings
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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.
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.
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
Autor*in
Cristodor Ionescu
Themen in »Classes of Good Noetherian Rings«
Noetherian Rings Noetherian Local Rings Commutative Algebra Algebraic Structures Algebraic Geometry Nagata Rings Rings Formal Fibres Regular Morphism Algebraic Geometry Resolution of Singularities Bertini's Theorem Cohen Factorizations Popescu's Theorem Neron Desingularization
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“The book wraps up with an extensive bibliography, covering not just references, but also encompassing monographs, textbooks, and research papers that share thematic connections with the subject matter explored in the book and offering a historical perspective on the theory’s development. The book is recommended for PhD students and researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.” (Jebrel M. Habeb, zbMATH 1528.13001, 2024)
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