Open AccessWeakly Approximaitly Quasi-Prime Submodules And Related Concepts
Author(s) -
Haibat K. Mohammadali,
Shahad J. Mahmood
Publication year - 2021
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/34.2.2613
Subject(s) - prime (order theory) , mathematics , generalization , commutative ring , unitary state , pure mathematics , class (philosophy) , multiplication (music) , commutative property , discrete mathematics , arithmetic , algebra over a field , combinatorics , computer science , mathematical analysis , artificial intelligence , political science , law
Let R be commutative Ring , and let T be unitary left .In this paper ,WAPP-quasi prime submodules are introduced as new generalization of Weakly quasi prime submodules , where proper submodule C of an R-module T is called WAPP –quasi prime submodule of T, if whenever 0≠rstϵC, for r, s ϵR , t ϵT, implies that either r tϵ C +soc or s tϵC +soc .Many examples of characterizations and basic properties are given . Furthermore several characterizations of WAPP-quasi prime submodules in the class of multiplication modules are established.