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 Ideal Man should talk to us as if we were goddesses, and treat us as if we were children. He should refuse all our serious requests, and gratify every one of our whims. He should encourage us to have caprices, and forbid us to have missions. He should always say much more than he means, and always mean much more than he says.”
—Oscar Wilde (1854–1900)