Let $T = (t_1,t_2,\cdots,t_k)$ be a triangular set (i.e., their main variables are distinct), and let $h$ be the product of its initials. $T$ is a regular chain if the iterated resultant is nonzero: $resultant(h,T)\neq 0$.
i1 : R = QQ[x,y,z,MonomialOrder=>Lex]; |
i2 : F = {x*y - y*z, y^2 - z^2}; |
i3 : T = triaSystem(R,F,{y}); |
i4 : isRegularChain(T) o4 = true |
The object isRegularChain is a method function.