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Chain Conditions in Commutative Rings
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Librairie Eyrolles - Paris 5e
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Chain Conditions in Commutative Rings

Chain Conditions in Commutative Rings

Ali Benhissi

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522 pages, parution le 07/10/2022
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Résumé

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.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.- 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.
 Ali Benhissi is a Professor of Mathematics at the University of Monastir, Tunisia. He received his PhD in Mathematics from the University of Provence, France, in 1988, and completed his State thesis at the University of Tunis, Tunisia, in 1996. He began his career as an Assistant at the University of Monastir, Tunisia, before advancing to Maitre Assistant and Maitre de Conferences, and is now a Full Professor. Dr. Benhissi has published more than 40 research papers on various aspects of commutative algebra and one book: "Les anneaux de series formelles."

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Ali Benhissi
Parution 07/10/2022
Nb. de pages 522
EAN13 9783031098970

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