ModulesOfProjectiveOrInjectiveDimensionAtMostOne on DyckPath
The indecomposable modules whose projective dimension or injective dimension is at most one.
Called as CombinatorialStat(x, "ModulesOfProjectiveOrInjectiveDimensionAtMostOne"). The head's page has its examples.
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FindStat St001138
The number of indecomposable modules of the linear Nakayama algebra corresponding to a Dyck path whose projective dimension or injective dimension is at most one.
| Object | Value |
|---|---|
[1,0] | 3 |
[1,0,1,0] | 5 |
[1,1,0,0] | 6 |
[1,0,1,0,1,0] | 7 |
[1,0,1,1,0,0] | 8 |
[1,1,0,0,1,0] | 8 |
[1,1,0,1,0,0] | 9 |
[1,1,1,0,0,0] | 10 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001138 has the rest.