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Book Cover
E-book
Author Benhissi, Ali, author.

Title Chain conditions in commutative rings / Ali Benhissi
Published Cham : Springer, [2022]
©2022

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Description 1 online resource (xi, 522 pages) : illustrations
Contents 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
Summary 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
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed October 19, 2022)
Subject Commutative rings -- Chain conditions.
Anillos conmutativos
Commutative rings -- Chain conditions
Form Electronic book
ISBN 9783031098987
3031098986