NonProjectiveInjectiveProjectiveDimensionSpread on DyckPath
The difference between the greatest and the least projective dimension of a non-projective indecomposable injective module.
Called as CombinatorialStat(x, "NonProjectiveInjectiveProjectiveDimensionSpread"). The head's page has its examples.
Live
Distribution
Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St001026
The difference between the maximum and the minimum of the projective dimensions of the indecomposable non-projective injective modules of the linear Nakayama algebra corresponding to a Dyck path.
| 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] | 1 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 0 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001026 has the rest.