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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Strongly Hopfian, Endo-Noetherian, and Isonoetherian Rings,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 different extensions of a ring ..

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Textbook 2022papers. 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 trans

严峻考验

Textbook 2022fer 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.

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