Abstract
This article is a natural continuation of our previous works [Dutta 2021] and [Dutta 2022]. In this article, we employ similar ideas as in [Alexandru, Popescu and Zaharescu 1990] to provide an estimate of when is a valuation algebraic extension. Our central result is an analogue of [Dutta 2022, Theorem 1.3]. We further provide a natural construction of a complete sequence of key polynomials for over in the setting of valuation algebraic extensions.
Citation
Arpan Dutta. "On the implicit constant fields and key polynomials for valuation algebraic extensions." J. Commut. Algebra 14 (4) 515 - 525, Winter 2022. https://doi.org/10.1216/jca.2022.14.515
Information