I-Semiprime Submodules

  • Adwia J. Abdul-AlKhalik Republic of Iraq, Ministry of Education, Directorate General of Education In Diyala, Diyala, Iraq.
Keywords: Prime submodules, weakly semiprime submodules, semiprime submodules, I-semiprime submodules

Abstract

 Let  be a commutative ring with identity and a fixed ideal of  and  be an unitary -module.We say that a proper submodule  of  is -semi prime submodule if with . In this paper, we investigate some properties of this class of submodules. Also, some characterizations of -semiprime submodules will be given, and we show that under some assumptions -semiprime submodules and semiprime submodules are coincided.

Published
2019-09-29
How to Cite
Abdul-AlKhalik, A. J. (2019). I-Semiprime Submodules. Iraqi Journal of Science, 60(9), 2030-2035. https://doi.org/10.24996/ijs.2019.60.9.17
Section
Mathematics