ideal
in order theory, a nonempty, upward‐directed, downward‐closed subset of a preordered set
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ideal
Summary
ideal ranks in the top 2% of general entities by monthly Wikipedia readership (59 views/month).[1]
Key Facts
- ideal's subclass of is recorded as upward directed set[2].
- ideal's subclass of is recorded as lower set[3].
- ideal's part of is recorded as preordered set[4].
- ideal's opposite of is recorded as filter[5].
- ideal's Freebase ID is recorded as /m/02m3r6[6].
- ideal's studied by is recorded as lattice theory[7].
- ideal's studied by is recorded as order theory[8].
- ideal's MathWorld ID is recorded as PartialOrderIdeal[9].
- ideal's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- ideal's Microsoft Academic ID is recorded as 67858689[11].
Why It Matters
ideal ranks in the top 2% of general entities by monthly Wikipedia readership (59 views/month).[1] ideal has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[12] ideal is known by 11 alternative names across languages and contexts.[13]