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On perfectness of annihilating-ideal graph of $\mathbb{Z}_n$ | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 14، دوره 8، شماره 1، خرداد 2023، صفحه 173-181 اصل مقاله (351.94 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27382.1252 | ||
| نویسندگان | ||
| Manideepa Saha1؛ Sucharita Biswas1؛ Angsuman Das* 2 | ||
| 1Presidency University, Kolkata | ||
| 2Department of Mathematics, Presidency University, Kolkata | ||
| چکیده | ||
| The annihilating-ideal graph of a commutative ring $R$ with unity is defined as the graph $AG(R)$ whose vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ = 0$. Nikandish et.al. proved that $AG(\mathbb{Z}_n)$ is weakly perfect. In this short paper, we characterize $n$ for which $AG(\mathbb{Z}_n)$ is perfect. | ||
| کلیدواژه‌ها | ||
| annihilator؛ perfect graph؛ ideals | ||
| مراجع | ||
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