From 44314e790ff8280fd8db9729e035761df7e891da Mon Sep 17 00:00:00 2001 From: Joseph Winspeare Date: Thu, 13 Jun 2024 14:17:50 +0200 Subject: [PATCH] Correct test file. --- tst/testall.tst | 26 ++++++++++++++++---------- 1 file changed, 16 insertions(+), 10 deletions(-) diff --git a/tst/testall.tst b/tst/testall.tst index 78cfcf1..622f6fd 100644 --- a/tst/testall.tst +++ b/tst/testall.tst @@ -1103,28 +1103,34 @@ gap> RightAlgebraModuleToPathAlgebraMatModule(module); # Testing AreDerivedEquivalent for two algebras of genus one -gap> Q := Quiver(6,[[2,1,"a"],[3,2,"b"],[1,4,"c"],[4,2,"d"],[3,5,"e"],[5,4,"f"],[4,6,"g"],[6,5,"h"],[5,6,"i"]]); +gap> Q := Quiver(6,[[2,1,"aa"],[3,2,"bb"],[1,4,"cc"],[4,2,"dd"],[3,5,"ee"],[5,4,"ff"],[4,6,"gg"],[6,5,"hh"],[5,6,"ii"]]); gap> kQ := PathAlgebra(Rationals,Q); ]> gap> AssignGeneratorVariables(kQ); -#I Assigned the global variables [ v1, v2, v3, v4, v5, v6, a, b, c, d, e, f, g, h, i ] -gap> rel := [a*c, c*d, d*a, e*f, f*g, g*h, h*i]; -[ (1)*a*c, (1)*c*d, (1)*d*a, (1)*e*f, (1)*f*g, (1)*g*h, (1)*h*i ] +#I Assigned the global variables [ v1, v2, v3, v4, v5, v6, aa, bb, cc, dd, ee, ff, gg, hh, ii ] +gap> rel := [aa*cc, cc*dd, dd*aa, ee*ff, ff*gg, gg*hh, hh*ii]; +[ (1)*aa*cc, (1)*cc*dd, (1)*dd*aa, (1)*ee*ff, (1)*ff*gg, (1)*gg*hh, (1)*hh*ii ] gap> I := Ideal(kQ,rel); ]>, (7 generators)> gap> A := kQ/I; ]/ ]>, (7 generators)>> -gap> AreDerivedEquivalent(A,A); -true -gap> Q := Quiver(6,[[2,1,"a"],[1,3,"b"],[3,2,"c"],[1,5,"d"],[2,6,"e"],[3,4,"f"],[4,5,"g"],[5,6,"h"],[6,4,"i"]]); +gap> +gap> Q := Quiver(6,[[2,1,"aaa"],[1,3,"bbb"],[3,2,"ccc"],[1,5,"ddd"],[2,6,"eee"],[3,4,"fff"],[4,5,"ggg"],[5,6,"hhh"],[6,4,"iii"]]); gap> kQ := PathAlgebra(Rationals,Q); ]> -gap> AssignGeneratorVariables(kQ);; -gap> rel := [a*b, b*c, c*a, f*g, g*h, h*i]; -[ (1)*a*b, (1)*b*c, (1)*c*a, (1)*f*g, (1)*g*h, (1)*h*i ] +gap> AssignGeneratorVariables(kQ); +#I Global variable `v1' is already defined and will be overwritten +#I Global variable `v2' is already defined and will be overwritten +#I Global variable `v3' is already defined and will be overwritten +#I Global variable `v4' is already defined and will be overwritten +#I Global variable `v5' is already defined and will be overwritten +#I Global variable `v6' is already defined and will be overwritten +#I Assigned the global variables [ v1, v2, v3, v4, v5, v6, aaa, bbb, ccc, ddd, eee, fff, ggg, hhh, iii ] +gap> rel := [aaa*bbb, bbb*ccc, ccc*aaa, fff*ggg, ggg*hhh, hhh*iii]; +[ (1)*aaa*bbb, (1)*bbb*ccc, (1)*ccc*aaa, (1)*fff*ggg, (1)*ggg*hhh, (1)*hhh*iii ] gap> I := Ideal(kQ,rel); ]>, (6 generators)> gap> B := kQ/I;