Prûfer property in amalgamated algebras along an ideal

2014/04/15 by Mahdou, Najib, Moutui, Moutu Abdou Salam
#16E05 #16E10 #16E30 #16E65 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.3793

Abstract

Let f : A → B be a ring homomorphism and J be an ideal of B. In this paper, we give a characterization of zero divisors of the amalgamation which is a generalization of Maimani's and Yassemi's work (see \citey). Also, we investigate the transfer of Prüfer domain concept to commutative rings with zero divisors in the amalgamation of A with B along J with respect to f (denoted by A\bowtie^fJ), introduced and studied by D'Anna, Finocchiaro and Fontana in 2009 (see \citeAFF1 and \citeAFF2). Our aim is to provide new classes of commutative rings satisfying this property.

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