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Better Nambooripad #1026

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merged 6 commits into from
Nov 15, 2024
Merged

Better Nambooripad #1026

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d0badd3
improve the current nambooripad partial order method
Tianrun-Y Jul 31, 2024
bf24f8d
add test
Tianrun-Y Aug 1, 2024
bb7b79e
fix test
Tianrun-Y Aug 7, 2024
0b5e076
fix test
Tianrun-Y Aug 7, 2024
e0bb823
Merge branch 'main' into better-nambooripad
james-d-mitchell Nov 8, 2024
0a68308
Merge branch 'main' into better-nambooripad
james-d-mitchell Nov 10, 2024
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8 changes: 4 additions & 4 deletions gap/attributes/attr.gi
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Original file line number Diff line number Diff line change
Expand Up @@ -1098,10 +1098,10 @@ function(S)

return
function(x, y)
local R;
R := RClass(S, x);
return IsGreensLessThanOrEqual(R, RClass(S, y))
and ForAny(Idempotents(R), e -> e * y = x);
local E;
E := Idempotents(S);
return ForAny(E, e -> e * y = x)
and ForAny(E, f -> y * f = x);
end;
end);

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214 changes: 214 additions & 0 deletions tst/standard/attributes/attr.tst
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Original file line number Diff line number Diff line change
Expand Up @@ -2008,6 +2008,220 @@ gap> GR := Digraph(s);
<immutable digraph with 78 vertices, 316 edges>
gap> IsPartialOrderDigraph(DigraphReflexiveTransitiveClosure(GR));
true
gap> S := FullTransformationMonoid(4);;
gap> s := NambooripadPartialOrder(S);
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gap> S := InverseSemigroup([Bipartition([[1, -3], [2, -1], [3, 4, -2, -4]]),
> Bipartition([[1, -1], [2, -3], [3, -2], [4, -4]])]);
<inverse block bijection semigroup of degree 4 with 2 generators>
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