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
Ascending chain condition on principal ideals it satisfies the right ACCP. The converses are not true, and the above switches from "left" and "right" are not typos. Whether the ACCP holds on the right or left side of "R", it implies that "R" has no infinite set of nonzero orthogonal idempotents, and that "R" is a Dedekind finite ring. Ascending chain condition on principal ideals In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two-sided ideals of a ring, partially ordered by inclusion. The ascending chain condition on principal ideals (abbreviated to ACCP) is satisfied