A $k$-ideal-based graph of commutative semiring

Document Type : Research Paper

Authors

1 Fouman Faculty of Engineering, College of Engineering, University of Tehran, Fouman, Iran.

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

10.22124/jart.2023.22002.1395

Abstract

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.

Keywords

Journal of Algebra and Related Topics
Volume 12, Issue 1
July 2024
Pages 41-52

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