Ideal (order theory)

id: ideal-order-theory-266-16267711
title: Ideal (order theory)
text: 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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category slug: encyclopedia
description: Nonempty, upper-bounded, downward-closed subset
original url: https://en.wikipedia.org/wiki/Ideal_(order_theory)
date created:
date modified: 2024-01-30T09:56:12Z
main entity: {"identifier":"Q1656686","url":"https://www.wikidata.org/entity/Q1656686"}
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fields total: 13
integrity: 14

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