NonInjectiveProjectivesOfDominantDimensionDifferentFromInjectiveDimension on DyckPath
The indecomposable projective modules that are not injective and whose dominant dimension differs from their injective dimension.
FindStat's St001089: the non-injective projectives less those counted by NonInjectiveProjectivesOfDominantDimensionEqualToInjectiveDimension.
Called as CombinatorialStat(x, "NonInjectiveProjectivesOfDominantDimensionDifferentFromInjectiveDimension"). The head's page has its examples.
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FindStat St001089
The number of indecomposable projective non-injective modules of the linear Nakayama algebra corresponding to a Dyck path, minus the number of indecomposable projective non-injective modules whose dominant dimension equals their injective dimension.
| Object | Value |
|---|---|
[1,0] | 0 |
[1,0,1,0] | 0 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 0 |
[1,0,1,1,0,0] | 0 |
[1,1,0,0,1,0] | 0 |
[1,1,0,1,0,0] | 1 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001089 has the rest.