Hai Q. DinhNguyen Trong BacNico Johannes GroenewaldDong Thi Hong NgocTon-Duc-Thang UniversityMahidol UniversityNguyen Tat Thanh UniversityNelson Mandela UniversityThai Nguyen University of Economics and Business Administration2019-08-232019-08-232018-12-01Thai Journal of Mathematics. Vol.16, No.3 (2018), 577-590168602092-s2.0-85059454828https://repository.li.mahidol.ac.th/handle/20.500.14594/46093© 2018 by the Mathematical Association of Thailand. All rights reserved. We provide the notion of strongly semiprime submodules of a given right R-module M and describe properties of them as a generalization of completely semiprime ideals in associative rings. We show that a proper fully invariant submodule of M is strongly prime if and only if it is prime and strongly semiprime.Mahidol UniversityMathematicsArticleSCOPUS