Titlebook: Classes of Good Noetherian Rings; Cristodor Ionescu Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to

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nautical

Further Results on Classes of Good Rings,This chapter is dedicated to miscellaneous results connected with the topics of the book. Mainly this refers to morphisms whose fibres are complete intersections and to the behaviour of integral closure to base change. The Evolution problem of Mazur and Eisenbud-Mazur conjecture are described.

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https://doi.org/10.1007/978-3-031-22292-4Noetherian Rings; Noetherian Local Rings; Commutative Algebra; Algebraic Structures; Algebraic Geometry;

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BARGE

Fibres of Noetherian Rings,ters, together with their main properties, are listed. In Sect. 1.3 we list several properties of inductive (direct) limits that will be useful later. The bases of several counterexamples that will be mentioned later are built in Sect. 1.5. In the final section, the .-rings and .-morphisms, notions that will play a central role, are described.

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1660-8046 for researchers in commutative algebra, with important resuThis 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 excell

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Hemodialyzers and related devicesIt would be nice to find any simplification of it. Together with Rotthaus’ result 5.3.13, this will provide the identification of the class of excellent Henselian local rings with the class of local rings with Artin approximation property.

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Structure of Regular Morphisms,It would be nice to find any simplification of it. Together with Rotthaus’ result 5.3.13, this will provide the identification of the class of excellent Henselian local rings with the class of local rings with Artin approximation property.

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Book 2023articular 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.