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 ring Left Bézout rings are defined similarly. These conditions are studied in domains as Bézout domains. A commutative principal ideal ring which is also an integral domain is said to be a "principal ideal domain" (PID). In this article the focus is on the more general concept of a principal ideal ring which is not necessarily a domain. If "R" is a right principal ideal ring, then it is certainly a right Noetherian ring, since every right ideal is finitely generated. It is also a right Bézout ring since all finitely generated right ideals are principal. Indeed, it is clear that