Open AccessI-Semiprime Submodules
Author(s) -
Adwia J. Abdul-AlKhalik
Publication year - 2019
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2019.60.9.17
Subject(s) - semiprime , semiprime ring , mathematics , pure mathematics , unitary state , commutative ring , commutative property , prime (order theory) , ideal (ethics) , combinatorics , philosophy , political science , law , epistemology
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.