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 of brotherhood of man, the building of the Just City, is one that cannot be discarded without lifelong feelings of disappointment and loss. But, if we are to live in the real world, discard it we must. Its very nobility makes the results of its breakdown doubly horrifying, and it breaks down, as it always will, not by some external agency but because it cannot work.”
—Kingsley Amis (1922–1995)