THE TOTAL TORSION ELEMENT GRAPH WITHOUT THE ZERO ELEMENT OF MODULES OVER COMMUTATIVE RINGS

@article{Saraei2014THETT,
  title={THE TOTAL TORSION ELEMENT GRAPH WITHOUT THE ZERO ELEMENT OF MODULES OVER COMMUTATIVE RINGS},
  author={Fatemeh Saraei},
  journal={Journal of Korean Medical Science},
  year={2014},
  volume={51},
  pages={721-734}
}
  • F. Saraei
  • Published 1 July 2014
  • Mathematics
  • Journal of Korean Medical Science
Abstract. Let M be a module over a commutative ring R, and let T(M)be its set of torsion elements. The total torsion element graph of Mover R is the graph T(Γ(M)) with vertices all elements of M, and twodistinct vertices m and n are adjacent if and only if m+ n ∈ T(M).In this paper, we study the basic properties and possible structures oftwo (induced) subgraphs Tor 0 (Γ(M)) and T 0 (Γ(M)) of T(Γ(M)), withvertices T(M) \{0}and M\{0}, respectively. The main purpose of thispaper is to extend the… 
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