Open AccessJ-Small Semiprime Submodules
Author(s) -
Nuhad S. Al-Mothafar,
Rafid M. Al-Shibani
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1963/1/012067
Subject(s) - unitary state , semiprime , semiprime ring , commutative ring , mathematics , commutative property , identity (music) , class (philosophy) , pure mathematics , ring (chemistry) , zero (linguistics) , discrete mathematics , combinatorics , physics , computer science , prime (order theory) , philosophy , linguistics , political science , chemistry , organic chemistry , artificial intelligence , acoustics , law
Let R be a commutative ring with identity and Y be an unitary R -module. We say a non-zero submodule s of Y is a J – small semiprime if and only if for whenever i ∈ R, y ∈ Y,(Y) is small in Y and i 2 y ∈ S + Rad (Y) implies iy ∈ S. In this paper, we investigate some properties and characterizations of these class of submodules