The Total Torsion Element Graph of a Module over a Commutative Ring

نویسندگان

  • Shahabaddin Ebrahimi Atani
  • Shokoofe Habibi
چکیده

The total graph of a commutative ring have been introduced and studied by D. F. Anderson and A. Badawi in [1]. In a manner analogous to a commutative ring, the total torsion element graph of a module M over a commtative ring R can be defined as the undirected graph T (Γ(M)). The basic properties and possible structures of the graph T (Γ(M)) are studied. The main purpose of this paper is to extend the definition and some results given in [1] to a more general total torsion

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تاریخ انتشار 2011