Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3267
Abstract
Given a commutative ring $R$, the zero-divisor graph of $R$ is an undirected simple graph with vertices the nonzero zero-divisors of $R$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy=0$. In [8], Redmond presented different versions of zero-divisor graphs of noncommutative rings. The main aim of this paper is to analyse these graphs for the semigroup $\mathcal{SP}_{n}$ of all strictly partial transformations on the set $X_{n}=\{1,2,\dots,n\}$.
Keywords
Strictly partial transformation, zero-divisor graph, clique number, chromatic number
First Page
2264
Last Page
2271
Recommended Citation
KORKMAZ, EMRAH
(2022)
"On the extended zero-divisor graph of strictly partial transformation semigroup,"
Turkish Journal of Mathematics: Vol. 46:
No.
6, Article 15.
https://doi.org/10.55730/1300-0098.3267
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss6/15
