Classes of Good Noetherian Rings: Frontiers in Mathematics
Autor Cristodor Ionescuen Limba Engleză Paperback – 29 mar 2023
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Specificații
ISBN-13: 9783031222917
ISBN-10: 3031222911
Pagini: 480
Ilustrații: XIV, 480 p. 1 illus. in color.
Dimensiuni: 168 x 240 x 32 mm
Greutate: 0.78 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Frontiers in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3031222911
Pagini: 480
Ilustrații: XIV, 480 p. 1 illus. in color.
Dimensiuni: 168 x 240 x 32 mm
Greutate: 0.78 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Frontiers in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
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.
Recenzii
“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)
Textul de pe ultima copertă
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.
Caracteristici
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