Weakly Approximaitly Quasi-Prime Submodules And Related Concepts

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Haibat K. Mohammadali
Shahad J. Mahmood

Abstract

           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.

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How to Cite
Mohammadali, H. K., & Mahmood, S. J. (2021). Weakly Approximaitly Quasi-Prime Submodules And Related Concepts. Ibn AL- Haitham Journal For Pure and Applied Sciences, 34(2), 56–69. Retrieved from https://jih.uobaghdad.edu.iq/index.php/j/article/view/2613
Section
mathematics