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Titlebook: Chain Conditions in Commutative Rings; Ali Benhissi Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license

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樓主
發(fā)表于 2025-3-21 17:07:44 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Chain Conditions in Commutative Rings
編輯Ali Benhissi
視頻videohttp://file.papertrans.cn/224/223379/223379.mp4
概述Gathers recent findings on chain conditions in commutative algebra, previously only available in papers.Offers detailed proofs, with examples, solved exercises and references in self-contained chapter
圖書封面Titlebook: Chain Conditions in Commutative Rings;  Ali Benhissi Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license
描述This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. The topics covered include S-Noetherian, S-Artinian, Nonnil-Noetherian, and Strongly Hopfian properties on commutative rings and their transfer to extensions such as polynomial and power series rings, and more. Though primarily intended for readers with a background in commutative rings, modules, polynomials and power series extension rings, the book can also be used as a reference guide to support graduate-level algebra courses, or as a starting point for further research.
出版日期Textbook 2022
關鍵詞S-Noetherian; S-Artinian; Nonnil-Noetherian; Strongly Hopfian; polynomials; power series; almost principal
版次1
doihttps://doi.org/10.1007/978-3-031-09898-7
isbn_softcover978-3-031-10147-2
isbn_ebook978-3-031-09898-7
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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沙發(fā)
發(fā)表于 2025-3-21 22:39:52 | 只看該作者
http://image.papertrans.cn/c/image/223379.jpg
板凳
發(fā)表于 2025-3-22 01:43:33 | 只看該作者
https://doi.org/10.1007/978-3-031-09898-7S-Noetherian; S-Artinian; Nonnil-Noetherian; Strongly Hopfian; polynomials; power series; almost principal
地板
發(fā)表于 2025-3-22 05:53:48 | 只看該作者
978-3-031-10147-2The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
5#
發(fā)表于 2025-3-22 10:38:23 | 只看該作者
Tables 23 - 32, Figs. 90 - 114,ed in many areas including commutative algebra and algebraic geometry. The Noetherian property was originally due to the mathematician Noether who first considered a relation between the ascending chain condition on ideals and the finitely generatedness of ideals.
6#
發(fā)表于 2025-3-22 13:07:33 | 只看該作者
Tables 23 - 32, Figs. 90 - 114,domorphism . of ., the sequence . .???. ..??… is stationary. The ring . is strongly Hopfian if it is strongly Hopfian as an .-module. This is also equivalent to the fact that for each .?∈?., the sequence .(.)???.(..)??… is stationary. In this chapter, we study this notion and its transfer to differe
7#
發(fā)表于 2025-3-22 20:47:33 | 只看該作者
8#
發(fā)表于 2025-3-23 00:29:47 | 只看該作者
9#
發(fā)表于 2025-3-23 03:37:04 | 只看該作者
Tables 23 - 32, Figs. 90 - 114,In this chapter, all the rings considered are commutative with unity. A multiplicative set contains 1 and does not contain 0.
10#
發(fā)表于 2025-3-23 09:29:52 | 只看該作者
1.0.3 List of symbols and abbreviations,Let . be an integral domain. In this chapter, we define a notion of almost principal for the domain .[.]. Then we characterize those . with this property. All the rings considered in this chapter are commutative with identity.
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