Nguyen T. BacHai Q. DinhN. J. GroenewaldTon-Duc-Thang UniversityKent State UniversityMahidol UniversityNelson Mandela UniversityNguyen Tat Thanh UniversityUniversity of Economics and Business Administration2019-08-232019-08-232018-08-01Thai Journal of Mathematics. Vol.16, No.2 (2018), 415-425168602092-s2.0-85052887931https://repository.li.mahidol.ac.th/handle/20.500.14594/46101© 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, the concept of 2-primal modules is introduced. We show that the implications between rings which are reduced, IFP, symmetric and 2-primal are preserved when the notions are extended to modules. Like for rings, for 2-primal modules, prime submodules coincide with completely prime submodules. We prove that if M is a quasi-projective and finitely generated right R-module which is a self-generator, then M is 2-primal if and only if S =EndR (M) is 2-primal. Some properties of 2-primal modules are also investigated.Mahidol UniversityMathematicsArticleSCOPUS