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Some properties of the zero divisor graph of a commutative ring

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Nazzal K., Ghanem M.

Discussiones Mathematicae - General Algebra and Applications

2014

tom 34

nr 2

167-181

Let Γ(R) be the zero divisor graph for a commutative ring with identity. The k-domination number and the 2-packing number of Γ(R), where R is an Artinian ring, are computed. k-dominating sets and 2-packing sets for the zero divisor graph of the ring of Gaussian integers modulo n, Γ(ℤₙ[i]), are constructed. The center, the median, the core, as well as the automorphism group of Γ(ℤₙ[i]) are determined. Perfect zero divisor graphs Γ(R) are investigated.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Ghanem M.

1 Nazzal K.

1 2014

Wyniki wyszukiwania

Some properties of the zero divisor graph of a commutative ring