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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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發(fā)表于 2025-3-21 18:21:41 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Classes of Good Noetherian Rings
編輯Cristodor Ionescu
視頻videohttp://file.papertrans.cn/228/227025/227025.mp4
概述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 resu
叢書名稱Frontiers in Mathematics
圖書封面Titlebook: Classes of Good Noetherian Rings;  Cristodor Ionescu Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to
描述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.
出版日期Book 2023
關鍵詞Noetherian Rings; Noetherian Local Rings; Commutative Algebra; Algebraic Structures; Algebraic Geometry;
版次1
doihttps://doi.org/10.1007/978-3-031-22292-4
isbn_softcover978-3-031-22291-7
isbn_ebook978-3-031-22292-4Series ISSN 1660-8046 Series E-ISSN 1660-8054
issn_series 1660-8046
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
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板凳
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Preventive Maintenance Models: A Reviewters, 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
地板
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5#
發(fā)表于 2025-3-22 12:29:47 | 只看該作者
Replacement of Renal Function by Dialysisem to be the most important ones: the localization problem for .-morphisms and the lifting problem for .-rings. Probably the most spectacular result is Corollary 4.6.21 stating that power series ring over quasi-excellent rings remains quasi-excellent. The results presented in this chapter need a ser
6#
發(fā)表于 2025-3-22 13:23:45 | 只看該作者
Hemodialyzers and related devicesu’s Theorem 5.2.56 showing that every regular morphism is a filtered direct limit of smooth morphisms of finite type. The proof is quite complicated. 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 excelle
7#
發(fā)表于 2025-3-22 19:01:24 | 只看該作者
8#
發(fā)表于 2025-3-22 21:56:22 | 只看該作者
Preventive Maintenance Models: A Reviewters, 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.
9#
發(fā)表于 2025-3-23 02:12:00 | 只看該作者
10#
發(fā)表于 2025-3-23 08:02:53 | 只看該作者
Joachim B?hler,Karl-Georg FischerThis 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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