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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.

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Prime ideals

Maximal ideals

Applications

Prime and maximal spectra

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Ideal (order theory)

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Avg. degree1.97
Density0.032787
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ideal ideals prime displaystyle set order filter maximal boolean theory algebra lattice given subset algebras elements notion also disjoint compact

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