Uig, Skye north and the River Conon which drains Glen Uig to the east. The lower courses of both of these small rivers are characterised by waterfalls. Uigg, Prince Edward Island, Canada was named by settlers from Uig. The population is estimated to be between 200–300 inhabitants. Uig is served by the A87 road from Portree and Kyle of Lochalsh to the south and the A855 road which runs northwards around the end of the Trotternish peninsula before also turning south to Portree. As of August, 2006, Uig is accessible via intercity buses on Skye, and Scottish Citylink buses, which travel as
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