Identifier
Identifier
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 0
[1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 6
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 6
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 0
Description
Number of indecomposable modules with projective and injective dimension at least two in the corresponding Nakayama algebra.
References
[1] Marczinzik, René Upper bounds for the dominant dimension of Nakayama and related algebras. zbMATH:06820683
Code
DeclareOperation("numberofmoduleswithprojinjdimgreaterorequal2",[IsList]);

InstallMethod(numberofmoduleswithprojinjdimgreaterorequal2, "for a representation of a quiver", [IsList],0,function(LIST)

local M, n, f, N, i, h,A,g,r,L,LL,subsets1,subsets2,W,simA,G1,G2,G3,g1,g2,g3,WU,O,OF,RegA,LU;

LU:=LIST[1];
A:=NakayamaAlgebra(LU,GF(3));
L:=ARQuiver([A,1000])[2];
LL:=Filtered(L,x->ProjDimensionOfModule(x,30)>=2 and InjDimensionOfModule(x,30)>=2);
return(Size(LL));

end);

Created
Apr 09, 2018 at 14:30 by Rene Marczinzik
Updated
Apr 09, 2018 at 14:30 by Rene Marczinzik