The total graph and regular graph of a commutative ring

@article{Akbari2009TheTG,
  title={The total graph and regular graph of a commutative ring},
  author={Saieed Akbari and Dariush Kiani and Fatemeh Mohammadi and Somayeh Moradi},
  journal={Journal of Pure and Applied Algebra},
  year={2009},
  volume={213},
  pages={2224-2228}
}

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References

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The total graph of a commutative ring

The Zero-Divisor Graph of a Commutative Ring☆

For each commutative ring R we associate a (simple) graph Γ(R). We investigate the interplay between the ring-theoretic properties of R and the graph-theoretic properties of Γ(R).

Introduction to commutative algebra

* Introduction * Rings and Ideals * Modules * Rings and Modules of Fractions * Primary Decomposition * Integral Dependence and Valuations * Chain Conditions * Noetherian Rings * Artin Rings *

Introduction to graph theory