RadicalEndomorphismDimension on DyckPath
The dimension of the endomorphisms of the Jacobson radical of the path's linear Nakayama algebra.
FindStat's St001228. The radical is the sum of the radicals of the indecomposable projectives.
Called as CombinatorialStat(x, "RadicalEndomorphismDimension"). The head's page has its examples.
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FindStat St001228
The vector space dimension of the space of module homomorphisms between J and itself when J denotes the Jacobson radical of the corresponding Nakayama algebra.
| Object | Value |
|---|---|
[1,0] | 1 |
[1,0,1,0] | 2 |
[1,1,0,0] | 3 |
[1,0,1,0,1,0] | 3 |
[1,0,1,1,0,0] | 4 |
[1,1,0,0,1,0] | 4 |
[1,1,0,1,0,0] | 5 |
[1,1,1,0,0,0] | 6 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001228 has the rest.