= Regular system of parameters
{title2=$(t_1,\ldots,t_d)$}
= Regular systems of parameters
{synonym}
In a regular local ring of dimension $d$, a regular system of parameters is a list in the maximal ideal whose images form a residue-field basis of $\mathfrak m/\mathfrak m^2$. The <Nakayama lemma> shows that it generates the maximal ideal. At a smooth closed point over an algebraically closed field, these are the local parameters in all dimensions, extending the single <local parameter on a smooth algebraic curve>.
Back to article page
