TY - JOUR ID - 1720 TI - The strongly annihilating-submodule graph of a module JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Farzi-Safarabadi, Ahadollah AU - Beyranvand, Reza AD - Department of Mathematics, Lorestan University, Khorramabad, Iran AD - Department of Mathematics, Lorestan university, Khorramabad, Iran Y1 - 2020 PY - 2020 VL - 7 IS - 1 SP - 83 EP - 99 KW - Annihilating-submodule graph KW - divisible module KW - reduced module KW - Strongly annihilating-submodule graph DO - 10.22034/as.2020.1720 N2 - 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. UR - https://as.yazd.ac.ir/article_1720.html L1 - https://as.yazd.ac.ir/article_1720_735397588383f4bf6ff90d78d9c96b4b.pdf ER -