RegularModuleThirdInjectiveTermProjectiveDimension on DyckPath
The greatest projective dimension of the third term of the minimal injective coresolution of an indecomposable projective module.
FindStat's St001275, which calls this the second term; see RegularModuleSecondInjectiveTermProjectiveDimension.
Called as CombinatorialStat(x, "RegularModuleThirdInjectiveTermProjectiveDimension"). The head's page has its examples.
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FindStat St001275
The projective dimension of the second term in a minimal injective coresolution of the regular module.
| Object | Value |
|---|---|
[1,0] | 0 |
[1,0,1,0] | 2 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 0 |
[1,0,1,1,0,0] | 2 |
[1,1,0,0,1,0] | 2 |
[1,1,0,1,0,0] | 2 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001275 has the rest.