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Chain Conditions in Commutative Rings
Ali Benhissi
出版
Springer Nature
, 2022-10-07
主題
Mathematics / Algebra / Abstract
Mathematics / Mathematical Analysis
Mathematics / Algebra / General
Mathematics / Calculus
ISBN
3031098986
9783031098987
URL
http://books.google.com.hk/books?id=as6TEAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.