Abstract

Let $D$ be an integral domain with quotient field $K$ and $X$ an indeterminate over $K$. A \emph{polynomial overring of} $D$ is a subring of $K[X]$ containing $D[X]$. The aim of this paper is to study some properties of the polynomial overrings of $D$, such as (faithful) flatness, locally freeness and Krull dimension.

Keywords: Integer-valued polynomials; ($w$-faithfully) flat module; Krull dimension.

MSC: 13F05, 13F20, 13B30, 16D40

DOI: 10.57016/MV-QXYR7351

Pages:  1--14