Ideal (order Theory)

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

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Ideal (order Theory) - Literature
... Idealsand filters are among the most basic concepts of order theory ... See the introductory books given for order theoryand lattice theory,and the literature on the Boolean prime idealtheorem ... A monograph available free online Burris,Stanley N ...

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