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Chain conditions in commutative rings

Record Type:	Electronic resources : Monograph/item
Title/Author:	Chain conditions in commutative ringsby Ali Benhissi.
Author:	Benhissi, Ali.
Published:	Cham :Springer International Publishing :2022.
Description:	xi, 522 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Commutative ringsChain conditions.
Online resource:	https://doi.org/10.1007/978-3-031-09898-7
ISBN:	9783031098987$q(electronic bk.)

Chain conditions in commutative rings
Benhissi, Ali.

Chain conditions in commutative rings[electronic resource] /by Ali Benhissi. - Cham :Springer International Publishing :2022. - xi, 522 p. :ill., digital ;24 cm.

- 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.

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.

ISBN: 9783031098987$q(electronic bk.)

Standard No.: 10.1007/978-3-031-09898-7doiSubjects--Topical Terms:

937287
Commutative rings
--Chain conditions.

LC Class. No.: QA251.3 / .B45 2022

Dewey Class. No.: 512.44

Chain conditions in commutative rings
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100 1 $a Benhissi, Ali. $3 937286
245 1 0 $a Chain conditions in commutative rings $h [electronic resource] / $c by Ali Benhissi.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xi, 522 p. : $b ill., digital ; $c 24 cm.
505 0 $a - 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.
520 $a 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.
650 0 $a Commutative rings $x Chain conditions. $3 937287
650 1 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Field Theory and Polynomials. $3 274058
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 275673
650 2 4 $a Sequences, Series, Summability. $3 275704
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-09898-7
950 $a Mathematics and Statistics (SpringerNature-11649)