Chain Conditions in Commutative Rings

Benhissi, Ali

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.

Details

Published by: Springer

Publication Date: 2022-10-08

Format: Hardcover

ISBN-13: 9783031098970

DOI: 10.1007/978-3-031-09898-7

Dimensions: 235cm x155cm

Pages: 522