$(n,d)$-$\mathcal{X}_R$-phantom and $(n,d)$-$_R\mathcal{X}$-cophantom morphisms

Year 2023, Volume: 34 Issue: 34, 210 - 236, 10.07.2023

Mourad Khattarı Driss Bennıs

https://doi.org/10.24330/ieja.1260503

Abstract

Several authors have been interested in some like phantom
morphisms such as $d$-phantoms,
$d$-$\operatorname{Ext}$-phantoms, neat-phantom morphisms, clean-
cophantom morphisms, $RD$-phantom morphisms and
$RD$-$\operatorname{Ext}$-phantom morphisms. In this paper, we
prove that these notions can be unified. We are mainly interested
in proving that the majority of the existing results hold true in
our general framework.

Keywords

$(n,d)$-$\mathcal{X}_R$-phantom morphism, $(n,d)$-$_R\mathcal{X}$-cophantom morphism, $n$-$\mathcal{X}$-coherent ring

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