The strongly annihilating-submodule graph of a module
عنوان مقاله: The strongly annihilating-submodule graph of a module
شناسه ملی مقاله: JR_ASYAZDT-7-1_009
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_ASYAZDT-7-1_009
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
Reza Beyranvand - Department of Mathematics, Lorestan university, Khorramabad, Iran
Ahadollah Farzi-Safarabadi - Department of Mathematics, Lorestan University, Khorramabad, Iran
خلاصه مقاله:
Reza Beyranvand - Department of Mathematics, Lorestan university, Khorramabad, Iran
Ahadollah Farzi-Safarabadi - 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.
کلمات کلیدی: Annihilating-submodule graph, Strongly annihilating-submodule graph, reduced module, divisible module
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1579986/