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.
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Anillos conmutativos
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Commutative rings -- Chain conditions
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Form |
Electronic book
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ISBN |
9783031098987 |
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3031098986 |
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