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We show that for an ideal $H$ in an Archimedean vector lattice $F$ thefollowing conditions are equivalent:  $\bullet$ $H$ is a projection band;  $\bullet$ Any collection of mutually disjoint vectors in $H$, which is orderbounded in $F$, is order bounded in $H$;  $\bullet$ $H$ is an infinite meet-distributive element of the lattice$\mathcal{I}_{F}$ of all ideals in $F$ in the sense that $\bigcap\limits_{J\in\mathcal{J}}\left(H+ J\right)=H+ \bigcap \mathcal{J}$, for any$\mathcal{J}\subset \mathcal{I}_{F}$.  Additionally, we show that if $F$ is uniformly complete and $H$ is auniformly closed principal ideal, then $H$ is a projection band. In the processwe investigate some order properties of lattices of continuous functions onTychonoff topological spaces.

Characterizations of the projection bands and some order properties of the lattices of continuous functions