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| Title: | Some properties of the Zero Divisor of a commutative ring. |
| Authors: | Khalida Nazzal, Manal Ghanem |
| Keywords: | 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. |
| Issue Date: | 30-Jan-2015 |
| Publisher: | Discussiones Mathematicae- General Algebra and Applications |
| Citation: | (2015),:34(2)DOI: 10.7151/dmgaa.1222 |
| Series/Report no.: | 34(2)DOI: 10.7151/dmgaa.1222;167–181. |
| Abstract: | Let (R) be the zero divisor graph for a commutative ring with identity. The k-domination number and the 2-packing number of (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, (Zn[i]), are constructed. The center, the median, the core, as well as the automorphism group of (Zn[i]) are determined. Perfect zero divisor graphs (R) are investigated. |
| URI: | https://scholar.ptuk.edu.ps/handle/123456789/200 |
| Appears in Collections: | Applied science faculty |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| dmgaa.1222.pdf | 157.58 kB | Adobe PDF |  View/Open |
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