NonInjectiveProjectivesOfDominantDimensionEqualToInjectiveDimension on DyckPath
The indecomposable projective modules that are not injective and whose dominant dimension equals their injective dimension.
FindStat's St001088.
Called as CombinatorialStat(x, "NonInjectiveProjectivesOfDominantDimensionEqualToInjectiveDimension"). The head's page has its examples.
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FindStat St001088
The number of indecomposable projective non-injective modules with dominant dimension equal to the injective dimension in the linear Nakayama algebra corresponding to a Dyck path.
| Object | Value |
|---|---|
[1,0] | 1 |
[1,0,1,0] | 1 |
[1,1,0,0] | 2 |
[1,0,1,0,1,0] | 1 |
[1,0,1,1,0,0] | 2 |
[1,1,0,0,1,0] | 2 |
[1,1,0,1,0,0] | 1 |
[1,1,1,0,0,0] | 3 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001088 has the rest.