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:
“Poetry, at all times, exercises two distinct functions: it may reveal, it may unveil to every eye, the ideal aspects of common things ... or it may actually add to the number of motives poetic and uncommon in themselves, by the imaginative creation of things that are ideal from their very birth.”
—Walter Pater (1839–1894)