journal-of-discrete-mathematical-sciences-and-cryptography

Journal of Discrete Mathematical Sciences and Cryptography

2169-0065 0972-0529

Taru Publications

10.47974/JDMSC-1563

I-prime fuzzy submodules

Sagban

Manal Ali

General Directorate of Education for the Holy Karbala, Iraqi Ministry of Education, Karbala, Iraq Zyarah

Ali Abd Alhussein

General Directorate of Education for the Holy Karbala, Iraqi Ministry of Education, Karbala, Iraq Hussain

Ahmed Hadi

Department of Automobile Engineering, College of Engineering Al-Musayab, University of Babylon, Babil, Iraq

26 4 1169 1174

15 07 2023

In this paper, we introduce a new generalization of prime F.S.M (P.F.S), called I- prime F.S.M and I be any ideal of a commutative ring R also, we study some properties of it and giving some characterizations of I-P.F.S. We establish the situation of I-P.F.Ss in F.M of the R-module and, we show that I-P.F.S and P.F.S are coincident under certain conditions.

Prime fuzzy submodule Weakly prime fuzzy submodule and I-prime submodule

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