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arXiv · 2307.16175

$\phi$-$\delta$-$S$-primary submodule

Sabri Najafi·Shaban Ghalandarzadeh·Arezou Ranjbar Nejad Esfahani·Fateme Olia
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Abstract

In this paper, we introduce and investigate some properties of $\phi$-$\delta$-$S$-primary submodules, which is a generalization of the $\phi$-$\delta$-primary submodules and prime submodules in general. We extend a number of main results about $\phi$-$\delta$-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 $\phi$-$\delta$-$S$-primary submodules of an $R$-module $M$ containing $K$ and the set of all $\phi$-$\delta$-$S$-primary submodules of $\frac{M}{K}$.

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Sabri Najafi, Shaban Ghalandarzadeh, Arezou Ranjbar Nejad Esfahani, Fateme Olia. 2023-07-30. $\phi$-$\delta$-$S$-primary submodule. https://arxiv.org/abs/2307.16175

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