  In this paper we extend a result of Cowsik on set-theoretic complete
intersection and a result Huneke, Morales and Goto and Nishida about Noetherian
symbolic Rees algebras of ideals. As applications, we show that the symbolic
Rees algebras of the following ideals are Noetherian and the ideals are
set-theoretic complete intersections: (a) the edge ideal of a complete graph,
(b) the Fermat ideal and (c) the Jacobian ideal of a certain hyperplane
arrangement.
