Tame degree functions in arbitrary characteristic

Abstract

In [1] , D. Daigle has proved a few results on “tameness” of a degree function on an integral domain B containing Q , which ensure that, under certain hypotheses, a derivation on B gives rise to a homogeneous derivation on an associated graded ring of B induced by the degree function. In this paper, we extend Daigle's results to arbitrary integral domains not necessarily containing Q .