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InjectivesOfProjectiveDimensionTwo on DyckPath ​

The indecomposable injective modules of projective dimension two.

On DyckPath

Called as CombinatorialStat(x, "InjectivesOfProjectiveDimensionTwo"). The head's page has its examples.

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FindStat St001274

The number of indecomposable injective modules with projective dimension equal to two.

ObjectValue
[1,0]0
[1,0,1,0]1
[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]2
[1,1,1,0,0,0]0

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001274 has the rest.