diff --git a/doc/convert.xml b/doc/convert.xml index 52eaea8..0617744 100644 --- a/doc/convert.xml +++ b/doc/convert.xml @@ -71,10 +71,10 @@ As an example we use the crossed module XAB constructed in section CAB := Cat1AlgebraOfXModAlgebra( XAB ); -[A(l,m) |X A(m)=>A(l,m)] -gap> Display( CAB ); -Cat1-algebra [A(l,m) |X A(m) => A(l,m)] :- +gap> Cn := Cat1AlgebraOfXModAlgebra( Xn ); +[An |X Bn -> An] +gap> Display( Cn ); +Cat1-algebra [An |X Bn => An] :- : range algebra has generators: [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), Z(5)^0, 0*Z(5) ], @@ -93,7 +93,7 @@ Cat1-algebra [A(l,m) |X A(m) => A(l,m)] :- [ 0*Z(5), 0*Z(5), 0*Z(5) ] ], [ [ 0*Z(5), 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), 0*Z(5) ] ] ] -: head homomorphism maps source generators to: +: head homomorphism maps source generators to: [ [ [ Z(5)^0, 0*Z(5), 0*Z(5) ], [ 0*Z(5), Z(5)^0, 0*Z(5) ], [ 0*Z(5), 0*Z(5), Z(5)^0 ] ], @@ -105,9 +105,8 @@ Cat1-algebra [A(l,m) |X A(m) => A(l,m)] :- [ 0*Z(5), 0*Z(5), 0*Z(5) ] ], [ [ 0*Z(5), 0*Z(5), Z(5)^0 ], [ 0*Z(5), 0*Z(5), 0*Z(5) ], [ 0*Z(5), 0*Z(5), 0*Z(5) ] ] ] -: range embedding maps range generators to: [ v.1, v.2 ] -: kernel has generators: - [ v.4, v.5 ] +: range embedding maps range generators to: [ v.1, v.2 ] +: kernel has generators: [ v.4, v.5 ] ]]> @@ -128,9 +127,9 @@ constructed in section . X3 := XModAlgebraOfCat1Algebra( C3 ); +gap> X6 := XModAlgebraOfCat1Algebra( C6 ); [ -> ] -gap> Display( X3 ); +gap> Display( X6 ); Crossed module [..->..] :- : Source algebra has generators: [ (Z(2)^0)*()+(Z(2)^0)*(4,5), (Z(2)^0)*(1,2,3)+(Z(2)^0)*(1,2,3)(4,5), diff --git a/lib/module.gd b/lib/module.gd index b18cf34..2a24e72 100644 --- a/lib/module.gd +++ b/lib/module.gd @@ -339,19 +339,25 @@ DeclareOperation( "XModAlgebraByModule", [ IsAlgebra, IsLeftModule ] ); ## ## ## C4 := Cat1AlgebraOfXModAlgebra( X4 ); -## [A4 |X A(M4)=>A4] -## gap> Display( C4 ); -## Cat1-algebra [A4 |X A(M4) => A4] :- -## : range algebra has generators:[ [ [ 0, 1, 0 ], [ 0, 0, 1 ], [ 1, 0, 0 ] ] ] -## : tail homomorphism = head homomorphism -## they map the source generators to: +## gap> C3 := Cat1AlgebraOfXModAlgebra( X3 ); +## [A3 |X GR(c3) -> A3] +## gap> Display( C3 ); +## Cat1-algebra [A3 |X GR(c3) => A3] :- +## : range algebra has generators:[ [ [ 0, 1, 0 ], [ 0, 0, 1 ], [ 1, 0, 0 ] ] ] +## : tail homomorphism maps source generators to: ## [ [ [ 0, 1, 0 ], [ 0, 0, 1 ], [ 1, 0, 0 ] ], ## [ [ 0, 0, 1 ], [ 1, 0, 0 ], [ 0, 1, 0 ] ], ## [ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ], ## [ [ 0, 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0 ] ], ## [ [ 0, 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0 ] ], ## [ [ 0, 0, 0 ], [ 0, 0, 0 ], [ 0, 0, 0 ] ] ] +## : head homomorphism maps source generators to: +## [ [ [ 0, 1, 0 ], [ 0, 0, 1 ], [ 1, 0, 0 ] ], +## [ [ 0, 0, 1 ], [ 1, 0, 0 ], [ 0, 1, 0 ] ], +## [ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ], +## [ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ], +## [ [ 0, 1, 0 ], [ 0, 0, 1 ], [ 1, 0, 0 ] ], +## [ [ 0, 0, 1 ], [ 1, 0, 0 ], [ 0, 1, 0 ] ] ] ## : range embedding maps range generators to: [ v.1 ] ## : kernel has generators: [ v.4, v.5, v.6 ] ## ]]> diff --git a/tst/convert.tst b/tst/convert.tst index 93ccde4..baf7af1 100644 --- a/tst/convert.tst +++ b/tst/convert.tst @@ -41,8 +41,8 @@ gap> Xn := XModAlgebraByIdeal( An, Bn ); [ Bn -> An ] gap> SetName( Xn, "Xn" ); -gap> ############################ -gap> ## Chapter 5, Section 5.1.1 +############################ +## Chapter 5, Section 5.1.1 gap> Cn := Cat1AlgebraOfXModAlgebra( Xn ); [An |X Bn -> An] gap> Display( Cn );