Reduced Gröbner Bases and Macaulay-Buchberger Basis Theorem over Noetherian Rings

Maria Francis, Ambedkar Dukkipati

In this paper, we extend the characterization of $\mathbb{Z}[x]/<f>$, where $f\in \mathbb{Z}[x]$ to be a free $\mathbb{Z}$-module to multivariate polynomial rings over any c…