Function: algquotient
Section: algebras
C-Name: alg_quotient
Prototype: GGD0,L,
Help: algquotient(al,I,{flag=0}): quotient of the algebra al by the two-sided
 ideal I.
Doc: \var{al} being a table algebra output by \tet{algtableinit} and \var{I}
 being a basis of a two-sided ideal of \var{al} represented by a matrix,
 returns the quotient $\var{al}/\var{I}$. When $\var{flag}=1$, returns a
 \typ{VEC} $[\var{al}/\var{I},\var{proj},\var{lift}]$ where \var{proj} and
 \var{lift} are matrices respectively representing the projection map and a
 section of it.
 \bprog
 ? mt = [matid(3), [0,0,0; 1,1,0; 0,0,0], [0,0,1; 0,0,0; 1,0,1]];
 ? A = algtableinit(mt,2);
 ? AQ = algquotient(A,[0;1;0]);
 ? algdim(AQ)
 %4 = 2
 @eprog