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 is a principal ideal of formula_61, and formula_62 is a principal ideal of formula_63. In fact, formula_64 and formula_65 are principal ideals of any ring formula_2. A ring in which every ideal is principal is called "principal", or a principal ideal ring. A principal ideal domain (PID) is an integral domain in which every ideal is principal. Any PID must be a unique factorization domain; the normal proof of unique factorization in the integers (the so-called fundamental theorem of arithmetic) holds in any PID. Any Euclidean domain is a PID; the algorithm used to calculate greatest common divisors may be