On criteria by Dedekind and Ore for integral ring extensions (Q1777336)

Dedekind's criterion is a necessary and sufficient condition for the integral closure of a Dedekind ring in a finite (separable) extension to be generated by one element. The authors show how useful this criterion is in applications along with proving a somewhat stronger version of the result, whereas assumption on separability is not required. In regard to construction of Newton's polygons, of a polynomial, Ore had given certain criteria that are also improved upon in this paper that contains a number of useful examples.