The strongly annihilating-submodule graph of a module

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.

کلیدواژه ها:

Annihilating-submodule graph ، Strongly annihilating-submodule graph ، reduced module ، divisible module