Cristodor Ionescu
Classes of Good Noetherian Rings
Classes of Good Noetherian Rings
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- More about Classes of Good Noetherian Rings
This monograph covers Noetherian rings and morphisms, including Nagata, F-finite, and excellent rings, Bertinis Theorem, and Cohen factorizations, with a complete proof of Popescus Theorem on Neron Desingularization.
Format: Paperback / softback
Length: 480 pages
Publication date: 18 February 2023
Publisher: Birkhauser Verlag AG
This comprehensive monograph delves into various classes of Noetherian rings and morphisms of Noetherian local rings, offering an in-depth exploration of these intricate mathematical concepts. Each chapter meticulously examines some of the most significant topics within the field, such as Nagata rings, F-finite and excellent rings, Bertini's Theorem, and Cohen factorizations. Of particular interest is the presentation of Popecus's Theorem on Neron Desingularization and the structure of regular morphisms, accompanied by a comprehensive proof. The book will serve as an indispensable resource for scholars engaged in commutative algebra, algebraic and arithmetic geometry, and number theory, providing a thorough understanding of these complex subjects.
Classes of Good Noetherian Rings
This comprehensive monograph delves into various classes of Noetherian rings and morphisms of Noetherian local rings, offering an in-depth exploration of these intricate mathematical concepts. Each chapter meticulously examines some of the most significant topics within the field, such as Nagata rings, F-finite and excellent rings, Bertini's Theorem, and Cohen factorizations. Of particular interest is the presentation of Popecus's Theorem on Neron Desingularization and the structure of regular morphisms, accompanied by a comprehensive proof. The book will serve as an indispensable resource for scholars engaged in commutative algebra, algebraic and arithmetic geometry, and number theory, providing a thorough understanding of these complex subjects.
Classes of Good Noetherian Rings
This comprehensive monograph delves into various classes of Noetherian rings and morphisms of Noetherian local rings, offering an in-depth exploration of these intricate mathematical concepts. Each chapter meticulously examines some of the most significant topics within the field, such as Nagata rings, F-finite and excellent rings, Bertini's Theorem, and Cohen factorizations. Of particular interest is the presentation of Popecus's Theorem on Neron Desingularization and the structure of regular morphisms, accompanied by a comprehensive proof. The book will serve as an indispensable resource for scholars engaged in commutative algebra, algebraic and arithmetic geometry, and number theory, providing a thorough understanding of these complex subjects.
Weight: 834g
Dimension: 240 x 168 (mm)
ISBN-13: 9783031222917
Edition number: 1st ed. 2023
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