On Gröbner Bases and Krull Dimension of Residue Class Rings of Polynomial Rings over Integral Domains

Maria Francis, Ambedkar Dukkipati

Given an ideal $\mathfrak{a}$ in $A[x_1,\dots ,x_n]$, where $A$ is a Noetherian integral domain, we propose an approach to compute the Krull dimension of $A[x_1,\ldots,x_n]/\math…