NonZeroRadicalsOfProjectivesOfProjectiveAndInjectiveDimensionAtMostOne on DyckPath
The nonzero radicals of the indecomposable projective modules whose projective and injective dimensions are both at most one.
FindStat's St001241. The radical of the projective at vertex v starts at v + 1.
Called as CombinatorialStat(x, "NonZeroRadicalsOfProjectivesOfProjectiveAndInjectiveDimensionAtMostOne"). The head's page has its examples.
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FindStat St001241
The number of non-zero radicals of the indecomposable projective modules that have injective dimension and projective dimension at most one.
| Object | Value |
|---|---|
[1,0] | 1 |
[1,0,1,0] | 1 |
[1,1,0,0] | 2 |
[1,0,1,0,1,0] | 0 |
[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/St001241 has the rest.