Identifier
Values
00 => ([(0,2),(2,1)],3) => 3
01 => ([(0,1),(0,2),(1,3),(2,3)],4) => 4
10 => ([(0,1),(0,2),(1,3),(2,3)],4) => 4
11 => ([(0,2),(2,1)],3) => 3
000 => ([(0,3),(2,1),(3,2)],4) => 4
001 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 6
011 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 6
100 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 6
110 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => 6
111 => ([(0,3),(2,1),(3,2)],4) => 4
0000 => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
1111 => ([(0,4),(2,3),(3,1),(4,2)],5) => 5
00000 => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
11111 => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 6
000000 => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
111111 => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 7
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Description
The number of 2-Gorenstein indecomposable injective modules in the incidence algebra of the lattice.
Map
poset of factors
Description
The poset of factors of a binary word.
This is the partial order on the set of distinct factors of a binary word, such that $u < v$ if and only if $u$ is a factor of $v$.