Portree 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 buses. Portree has a harbour, fringed by cliffs, with a pier designed by Thomas Telford. Attractions in the town include the Aros centre which celebrates the island's Gaelic heritage. Further arts provision is made through arts organisation ATLAS Arts, a Creative Scotland regularly-funded organisation. The town also serves as a centre for tourists exploring the island. The Royal Hotel is the site
Ascending chain condition on principal ideals 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 if there is no infinite strictly ascending chain of principal ideals of the given type (left/right/two-sided) in the ring, or said another way, every ascending chain is eventually constant. The counterpart descending chain condition may also be applied to these posets, however there is currently no need for the terminology "DCCP" since such