Points of a noncommutative algebra
= Points of a noncommutative algebra
{title2=$\operatorname{Hom}_{k\text{-alg}}(A,R)$}
An $R$-point of a unital <algebra over a field> $A$ is a unital <algebra homomorphism over a field> $A\to R$. For the <quantum plane> over the <complex numbers>, scalar points lie on the two coordinate axes when $q\ne1$, while matrix-valued points are pairs $X,Y$ with $YX=qXY$.