ϕ-δ-S-primary Submodule

Authors

  • Sabrina Najafi Faculty of Mathematics K.N. Toosi University of Technology
  • Shaban Ghalandarzadeh Faculty of Mathematics K.N. Toosi University of Technology
  • Fateme Olia Faculty of Mathematics K.N. Toosi University of Technology

Keywords:

S-primary submodule, ϕ-δ-primary submodule, ϕ-δ-S-primary ideal

Abstract

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 several main
results about ϕ-δ-primary submodule and prime submodule into the
general framework. Moreover, we show that there is a one-to-one correspondence between the set of all ϕ-δ-S-primary submodules of an Rmodule M containing K and the set of all ϕ-δ-S-primary submodules of M/K. In the end, we present some results concerning ϕ▷◁-δ▷◁-S▷◁-primary submodules in the amalgamation Modules.

Published

2026-07-06

Issue

Vol. 20

Section

Vol. 20, No. 4, (2026)

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