Title of article :
A k-ideal-based graph of commutative semiring
Author/Authors :
Esmaeili Khalil Saraei ، F. Fouman Faculty of Engineering, College of Engineering - University of Tehran , Raminfar ، S. Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan
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 :
graph , semiring , k , ideal , QR , ideal.
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics