- Tytuł:
- Some properties of the zero divisor graph of a commutative ring
- Autorzy:
-
Nazzal, Khalida
Ghanem, Manal - Powiązania:
- https://bibliotekanauki.pl/articles/729189.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
automorphism group of a graph
center of a graph
core of a graph
k-domination number
Gaussian integers modulo n
median of a graph
2-packing
perfect graph
and zero divisor graph - Opis:
- 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.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2014, 34, 2; 167-181
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł