Sabri Najafi

$ϕ$-$δ$-$S$-primary submodule

In this paper, we introduce and investigate some properties of $ϕ$-$δ$-$S$-primary submodules, which is a generalization of the $ϕ$-$δ$-primary submodules and prime submodules in general. We extend a number of main results about $ϕ$-$δ$-primary submodule and prime submodule into the general framework. Moreover, we show that there is an one-to-one correspondence between the set of all $ϕ$-$δ$-$S$-primary submodules of an $R$-module $M$ containing $K$ and the set of all $ϕ$-$δ$-$S$-primary submodules of $\frac{M}{K}$.