Semi local hollow modules

نویسندگان
Abdullah, Nada K. ID 1
Mohammed, Nada J. ID 2

1 Department of Mathematics, College of Education for pure science, Tikrit university, Tikrit, Iraq

2 Department of Mathematics, College of Education for women, Tikrit university, Tikrit, Iraq

doi
10.22075/ijnaa.2021.5409
چکیده

To consider \(R\) is a commutative ring with unitary, \(X\) be a non--Zero unity left \(R - module\); \(X\) is known hollow module if each proper sub module of \(X\) is semi small local hollow module if \(X\) has a unique maximal submodule which contains each semi small submodule. The current study deals with this class of modules and give several fundamental properties related with this concept.

کلیدواژه‌ها
Semi small submodules, Local hollow modules, Semi local hollow module