Total graphs over modules

Let R be a commutative ring with identity andM be an R-module. In this paper we define the total graph without zero element over a module and give some results. Also, we show that ifM has more that three non-zero elements then T0( (M)) is connected if and only if T( (M)) is connected.

کلیدواژه ها:

Total graph ، zero-divisor graph ، module