@Article{CMR-30-2,
author = {Yinyin, Fu and Zhao, Xianzhong},
title = {The Closed Subsemigroups of a Clifford Semigroup},
journal = {Communications in Mathematical Research },
year = {2014},
volume = {30},
number = {2},
pages = {97--105},
abstract = {<p style="text-align: justify;">In this paper we study the closed subsemigroups of a Clifford semigroup.
It is shown that <span style="text-align: justify;">$\{\underset{\alpha \in \overline{Y&#39;}}{\cup} G_{\alpha} | Y&#39; \in P(Y)\}$</span>&nbsp;is the set of all closed subsemigroups of
a Clifford semigroup $S = [Y ; G_α; \phi_{α, β}]$, where $\overline{Y&#39;}$ denotes the subsemilattice of $Y$ generated by $Y&#39;$. In particular, $G$ is the only closed subsemigroup of itself for a
group $G$ and each one of subsemilattices of a semilattice is closed. Also, it is shown
that the semiring $\overline{P}(S)$ is isomorphic to the semiring $\overline{P}(Y)$ for a Clifford semigroup $S = [Y ; G_α; \phi_{α, β}]$.<br/></p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2014.02.01},
url = {https://global-sci.com/article/81743/the-closed-subsemigroups-of-a-clifford-semigroup}
}