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:
“Some day the soft Ideal that we wooed
Confronts us fiercely, foe-beset, pursued,
And cries reproachful: “Was it then my praise,
And not myself was loved? Prove now thy truth;
I claim of thee the promise of thy youth.””
—James Russell Lowell (1819–1891)