ModulesOfProjectiveAndInjectiveDimensionAtLeastTwo on DyckPath
The indecomposable modules whose projective and injective dimensions are both at least two.
Called as CombinatorialStat(x, "ModulesOfProjectiveAndInjectiveDimensionAtLeastTwo"). The head's page has its examples.
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FindStat St001140
The number of indecomposable modules of the linear Nakayama algebra corresponding to a Dyck path whose projective dimension and injective dimension are at least two.
| 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] | 0 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001140 has the rest.