Chain conditions in commutative rings
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 se…
Read More ↓Title Statements
- Full title :Chain conditions in commutative rings / Ali Benhissi.
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.
Read More ↓Edition Statements
- Publication Date:©2022
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:©2022
The Physical Object
- Description:1 online resource (xi, 522 pages) : : illustrations
Edition Identifiers
- ISBN:9783031098987, 3031098986
- DOI:10.1007/978-3-031-09898-7
- oclc:on1347059248
- LC Classification:QA251.3
- Dewey Decimal:512/.44
Table of 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.
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