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Classes of Good Noetherian Rings

Cristodor Ionescu

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

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.

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Schlagwörter

Commutative Algebra, Rings Formal Fibres, Cohen Factorizations, Noetherian Local Rings, Noetherian Rings, Popescu's Theorem, Bertini's Theorem, Nagata Rings, Algebraic Structures, Neron Desingularization, Algebraic Geometry, Regular Morphism Algebraic Geometry, Resolution of Singularities