Portree High School Portree High School Portree High School (Gaelic: ) is a state co-educational comprehensive school in Portree, Skye in Scotland. , the school enrols 520 pupils and employs 55 teachers. The school's catchment area draws from 15 primary schools across Skye and neighbouring Raasay. The school also has boarding provisions for a small number of pupils who live in more remote areas of the island. A school has existed at Portree since the 17th century. However it closed in 1825 due to the difficulty in finding a new qualified schoolmaster. Construction on the Portree High School buildings began in 1872. In
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