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

Authors : Mourad KHATTARI, Driss BENNIS

Pages : 210-236

Doi:10.24330/ieja.1260503

View : 28 | Download : 57

Publication Date : 2023-07-10

Article Type : Research Paper

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