@article { author = {Farzi-Safarabadi, Ahadollah and Beyranvand, Reza}, title = {The strongly annihilating-submodule graph of a module}, journal = {Algebraic Structures and Their Applications}, volume = {7}, number = {1}, pages = {83-99}, year = {2020}, publisher = {Yazd University}, issn = {2382-9761}, eissn = {2423-3447}, doi = {10.22034/as.2020.1720}, 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 = {Annihilating-submodule graph,divisible module,reduced module,Strongly annihilating-submodule graph}, url = {https://as.yazd.ac.ir/article_1720.html}, eprint = {https://as.yazd.ac.ir/article_1720_735397588383f4bf6ff90d78d9c96b4b.pdf} }