# LocalizeRingForHomalg, single 11
#
# DO NOT EDIT THIS FILE - EDIT EXAMPLES IN THE SOURCE INSTEAD!
#
# This file has been generated by AutoDoc. It contains examples extracted from
# the package documentation. Each example is preceded by a comment which gives
# the name of a GAPDoc XML file and a line range from which the example were
# taken. Note that the XML file in turn may have been generated by AutoDoc
# from some other input.
#
gap> START_TEST("localizeringforhomalg11.tst");
# doc/../examples/ResidueClass.g:93-134
gap> R0 := LocalizeAtZero( Qxy );
Q[x,y]_< x, y >
gap> Display( R0 );
<A local ring>
gap> wmat0 := R0 * wmat;
<A 2 x 2 matrix over a local ring>
gap> R01 := R0 / ( ec / R0 );
Q[x,y]_< x, y >/( (-x^3-x^2+2*y^2)/1 )
gap> Display( R01 );
<A residue class ring>
gap> wmat01 := R01 * wmat0;
<A 2 x 2 matrix over a residue class ring>
gap> W01 := LeftPresentation( wmat01 );
<A left module presented by 2 relations for 2 generators>
gap> Res01 := Resolution( 2 , W01 );
<A right acyclic complex containing 2 morphisms of left modules at degrees
[ 0 .. 2 ]>
gap> Display( Res01 );
-------------------------
at homology degree: 2
0
-------------------------
(an empty 0 x 2 matrix)
the map is currently represented by the above 0 x 2 matrix
------------v------------
at homology degree: 1
Q[x,y]_< x, y >/( (x^3+x^2-2*y^2)/1 )^(1 x 2)
-------------------------
y^3+y^2,2*y^2,
0, x*y^2-y^3
/ 1
modulo [ (x^3+x^2-2*y^2)/1 ]
the map is currently represented by the above 2 x 2 matrix
------------v------------
at homology degree: 0
Q[x,y]_< x, y >/( (x^3+x^2-2*y^2)/1 )^(1 x 2)
-------------------------
#
gap> STOP_TEST("localizeringforhomalg11.tst", 1);
