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A $k$-ideal-based graph of commutative semiring | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 1، مهر 2024، صفحه 41-52 اصل مقاله (310.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2023.22002.1395 | ||
| نویسندگان | ||
| F. Esmaeili Khalil Saraei* 1؛ S. Raminfar2 | ||
| 1Fouman Faculty of Engineering, College of Engineering, University of Tehran, Fouman, Iran. | ||
| 2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| چکیده | ||
| Let $R$ be a commutative semiring and $I$ be a $k$-ideal of $R$. In this paper, we introduce the $k$-ideal-based graph of $R$, denoted by $\Gamma_{I^{*}}(R)$. The basic properties and possible structures of the graph are studied. | ||
| کلیدواژه‌ها | ||
| graph؛ semiring؛ $k$-ideal؛ $Q_{R}$-ideal | ||
| مراجع | ||
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