Tame degree functions in arbitrary characteristic

Gupta, Neena ; Sen, Sourav (2021) Tame degree functions in arbitrary characteristic Journal of Pure and Applied Algebra, 225 (10). p. 106715. ISSN 0022-4049

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Official URL: http://doi.org/10.1016/j.jpaa.2021.106715

Related URL: http://dx.doi.org/10.1016/j.jpaa.2021.106715


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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Finite Generation; Subalgebra Of Polynomial Algebra; Dimension Formula; Nagata Ring; Complete Local Ring; Regular Local Ring; Krull Domain; Excellent Ring.
ID Code:121170
Deposited On:12 Jul 2021 09:06
Last Modified:12 Jul 2021 09:06

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