@article {7513,
	title = {A note on generators of the endomorphism semigroup of an infinite countable chain},
	journal = {Journal of Algebra and its Applications (DOI: 10.1142/S0219498817500311)},
	volume = {16},
	year = {2017},
	pages = {1750031 (9 pages)},
	abstract = {<p>In this note, we consider the semigroup $O(X)$ of all order endomorphisms of an infinite chain $X$ and the subset $J$ of $O(X)$ of all transformations $\alpha$ such that $|Im(\alpha)|=|X|$. For an infinite countable chain $X$, we give a necessary and sufficient condition on $X$ for $O(X) = \&lt; J \&gt;$ to hold. We also present a sufficient condition on $X$ for $O(X) = \&lt; J \&gt;$ to hold, for an arbitrary infinite chain $X$. </p>
},
	url = {http://dx.doi.org/10.1142/S0219498817500311 },
	author = {Dimitrova, I. and Fernandes, V{\'\i}tor H. and Koppitz, J.}
}
