Title of article :
The strongly annihilating-submodule graph of a module
Author/Authors :
Beyranvand, Reza Department of Mathematics - Lorestan university, Khorramabad, Iran , Farzi-Safarabadi, Ahadollah Department of Mathematics - Lorestan university, Khorramabad, Iran
Abstract :
In this paper, we define the notion of strongly annihilating-submodule graph of modules. This graph is a straightforward common generalization of the annihilating-submodule graph and the annihilating-ideal graph. In addition to providing the properties of this graph in general, we investigate the behavior of the graph when modules are reduced or divisible
Keywords :
divisible module , reduced module , Strongly annihilating-submodule graph , Annihilating-submodule graph
Journal title :
Astroparticle Physics
