On graded 2-absorbing submodules over Gr-multiplication modules

Authors

  • F. Soheilnia Department of Mathematics and Applications, University of Mohaghegh Ardabili, 5619911367, Ardabil, Iran Author
  • A. Yousefian Darani Department of Mathematics and Applications, University of Mohaghegh Ardabili, 5619911367, Ardabil, Iran Author

Keywords:

Graded multiplication modules, graded prime submodules, graded 2-absorbing submodules, graded classical submodules, graded classical 2-absorbing submodules

Subjects:

13A02, 16W50

Abstract

Let G be a multiplicative group with identity e, R be a G-graded commutative ring and M be a graded R-module. The aim of this article is some investigations of graded 2-absorbing submodules over Gr-multiplication modules. A graded submodule N of R-module M is called graded 2-absorbing if whenever a,bh(R) and mh(M) with abmN, then either ab(N:RM) or amN or bmN. We also introduce the concept of graded classical 2-absorbing submodule as a generalization of graded classical prime submodules and show a number of results in this class.

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Published

2018-10-15