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 air was so elastic and crystalline that it had the same effect on the landscape that a glass has on a picture, to give it an ideal remoteness and perfection.”
—Henry David Thoreau (1817–1862)