Portree used Portree's pier as a rest point. The town also began exporting fish at this time, which contributed greatly to the local economy. The town had the last manual telephone exchange in the UK, which closed in 1976. Portree shale is a geologic association in the vicinity of Portree, the existence of which is linked with potential petroleum occurrences of commercial importance. 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
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