The strongly annihilating-submodule graph of a module

Document Type : Research Paper


1 Department of Mathematics, Lorestan university, Khorramabad, Iran

2 Department of Mathematics, Lorestan University, Khorramabad, Iran



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.


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