Gaussian property in amalgamated algebras along an ideal

preprint2014arXivOpen access

Abstract

Let f:A→Bf : A \rightarrow B be a ring homomorphism and JJ be an ideal of BB. In this paper, we investigate the transfer of Gaussian property to the amalgamation of AA with BB along JJ with respect to ff (denoted by A⋈fJ),A\bowtie^fJ), introduced and studied by D'Anna, Finocchiaro and Fontana in 2009.

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