Portree Portree Portree (; , ) is the largest town on Skye in the Inner Hebrides of Scotland. It is the location for the only secondary school on the island, Portree High School. Public transport services are limited to buses. Portree has a harbour, fringed by cliffs, with a pier designed by Thomas Telford. Attractions in the town include the Aros centre which celebrates the island's Gaelic heritage. Further arts provision is made through arts organisation ATLAS Arts, a Creative Scotland regularly-funded organisation. The town also serves as a centre for tourists exploring the island. The Royal Hotel is the site
Principal ideal principal ideals in formula_43 are of the form formula_44. Actually, every ideal formula_1 in formula_43 is principal, which can be shown in the following way. Suppose formula_47 where formula_48, then consider the surjective homomorphisms formula_49 Since formula_50 is finite, then for sufficiently large formula_51, formula_52 Thus, formula_53, which implies formula_1 is always finitely generated. Since the ideal generated by any integers formula_3 and formula_56, formula_57, is exactly formula_58, by induction on the number of generators, it follows that formula_1 is principal. However, all rings have principal ideals, namely, any ideal generated by exactly one element. For example, the ideal formula_60