Weakly Approximaitly Quasi-Prime Submodules And Related Concepts

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Haibat K. Mohammadali Shahad J. Mahmood


           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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MOHAMMADALI, Haibat K.; MAHMOOD, Shahad J.. Weakly Approximaitly Quasi-Prime Submodules And Related Concepts. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 34, n. 2, p. 56-69, apr. 2021. ISSN 2521-3407. Available at: <https://jih.uobaghdad.edu.iq/index.php/j/article/view/2613>. Date accessed: 13 may 2021.