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On Prüfer-like conditions

2009/11/11 by Chahrazade Bakkari, Bakkari, Chahrazade
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC

paper · pdf · doi:10.48550/arxiv.0911.2250

arxiv created 2009/11/11 · openalex publication_date 2009/11/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper deals with five extensions of the Prüfer domain concept to commutative rings with zero divisors. We investigate the stability of these Prüfer-like conditions under localization and homomorphic image. Our results generate new and original examples of Prüfer-like rings.

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