Open AccessOn ⏀-Prime Submodules
Author(s) -
Ismael Akray
Publication year - 2021
Publication title -
mağallaẗ al-qādisiyyaaẗ li-l-ʻulūm al-ṣirfaẗ
Language(s) - English
Resource type - Journals
eISSN - 2411-3514
pISSN - 1997-2490
DOI - 10.29350/qjps.2021.26.4.1374
Subject(s) - prime (order theory) , mathematics , pure mathematics , associated prime , discrete mathematics , arithmetic , combinatorics
In this paper, we study some properties of φ-prime submodules andwe give another charactrization for it. For given submodules N and K of a moduleM with K ⊆ N, we prove that N is φ-prime submodule if and only if N/Kis φ_K-prime submodule. Finally, we show that any finite sum of φ-prime submodules isφ-prime.