The strongly annihilating-submodule graph of a module

نویسندگان

1 Department of Mathematics, Lorestan University, Khorramabad, Iran

2 Department of Mathematics, Lorestan university, Khorramabad, Iran

doi
10.22034/as.2020.1720
چکیده

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.