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Chain Conditions in Commutative Rings

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Chain Conditions in Commutative Rings/ by Ali Benhissi.
作者:	Benhissi, Ali.
面頁冊數:	XI, 522 p. 31 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Sequences, Series, Summability. -
電子資源:	https://doi.org/10.1007/978-3-031-09898-7
ISBN:	9783031098987

Chain Conditions in Commutative Rings
Benhissi, Ali.

Chain Conditions in Commutative Rings[electronic resource] /by Ali Benhissi. - 1st ed. 2022. - XI, 522 p. 31 illus.online resource.

- Preface -- S-Noetherian Modules and Rings -- S-Artininian Rings and Modules -- Almost Principal Polynomial Rings -- The SFT and t-SFT rings -- Nonnil-Noetherian Rings -- Strongly Hopfian, Endo-Noetherian and Isonoetherian Rings -- Index.

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.

ISBN: 9783031098987

Standard No.: 10.1007/978-3-031-09898-7doiSubjects--Topical Terms:

672022
Sequences, Series, Summability.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

Chain Conditions in Commutative Rings
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