Ideal (order Theory)
In mathematical order theory, an ideal is a special subset of a partially ordered set (poset). Although this term historically was derived from the notion of a ring ideal of abstract algebra, it has subsequently been generalized to a different notion. Ideals are of great importance for many constructions in order and lattice theory.
Read more about Ideal (order Theory): Basic Definitions, Prime Ideals, Maximal Ideals, Applications, History, Literature
Famous quotes containing the word ideal:
“The contest between the Future and the Past is one between Divinity entering, and Divinity departing. You are welcome to try your experiments, and, if you can, to displace the actual order by that ideal republic you announce, of nothing but God will expel God.”
—Ralph Waldo Emerson (1803–1882)