depth
invariant of rings and modules in algebra
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depth
Summary
depth ranks in the top 2% of general entities by monthly Wikipedia readership (9 views/month).[1]
Key Facts
- depth's subclass of is recorded as invariant[2].
- depth's Freebase ID is recorded as /m/02prpy1[3].
- depth's defining formula is recorded as \operatorname{depth}_I(M)=\min{i\colon\operatorname{Ext}^i(R/I,M)\neq 0}[4].
- depth's maintained by WikiProject is recorded as WikiProject Mathematics[5].
- depth's in defining formula is recorded as \operatorname{depth}[6].
- depth's in defining formula is recorded as M[7].
- depth's in defining formula is recorded as R[8].
- depth's in defining formula is recorded as I[9].
- depth's in defining formula is recorded as /[10].
- depth's in defining formula is recorded as \operatorname{Ext}[11].
- depth's Encyclopedia of Mathematics article ID is recorded as Depth_of_a_module[12].
Why It Matters
depth ranks in the top 2% of general entities by monthly Wikipedia readership (9 views/month).[1] depth has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[13]