regular local ring
Noetherian local commutative ring, the minimal number of generators of whose maximal ideal equals its Krull dimension
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regular local ring
Summary
regular local ring ranks in the top 2% of general entities by monthly Wikipedia readership (63 views/month).[1]
Key Facts
- regular local ring's subclass of is recorded as complete intersection ring[2].
- regular local ring's subclass of is recorded as unique factorization domain[3].
- regular local ring's Freebase ID is recorded as /m/02jmfq[4].
- regular local ring's defining formula is recorded as \dim_{A/\mathfrak m}\frac{\mathfrak m}{\mathfrak m^2} = \dim A[5].
- regular local ring's MathWorld ID is recorded as RegularLocalRing[6].
- regular local ring's nLab ID is recorded as regular local ring[7].
- regular local ring's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- regular local ring's Microsoft Academic ID is recorded as 46333567[9].
- regular local ring's Encyclopedia of Mathematics article ID is recorded as Regular_ring[10].
- regular local ring's OpenAlex ID is recorded as C46333567[11].
- regular local ring's OpenAlex ID is recorded as C2780330066[12].
Why It Matters
regular local ring ranks in the top 2% of general entities by monthly Wikipedia readership (63 views/month).[1] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[13] It is known by 6 alternative names across languages and contexts.[14]