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＜電子ブック＞
Chain Conditions in Commutative Rings / by Ali Benhissi

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	XI, 522 p. 31 illus : online resource
著者標目	*Benhissi, Ali author SpringerLink (Online service)
件　名	LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebraic fields LCSH:Polynomials LCSH:Algebra LCSH:Sequences (Mathematics) FREE:Commutative Rings and Algebras FREE:Field Theory and Polynomials FREE:Order, Lattices, Ordered Algebraic Structures FREE:Sequences, Series, Summability
一般注記	- 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 HTTP:URL=https://doi.org/10.1007/978-3-031-09898-7

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