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.
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Famous quotes containing the word ideal:
“One who does not know how to discover the pathway to his ideal lives more frivolously and impudently than the man without an ideal.”
—Friedrich Nietzsche (1844–1900)