On the implicit constant fields and key polynomials for valuation algebraic extensions
نویسندگان
چکیده
This article is a natural continuation of our previous works [Dutta 2021] and 2022]. In this article, we employ similar ideas as in [Alexandru, Popescu Zaharescu 1990] to provide an estimate IC(K(X)∣K,v) when (K(X)∣K,v) valuation algebraic extension. Our central result analogue 2022, Theorem 1.3]. We further construction complete sequence key polynomials for v over K the setting extensions.
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2022
ISSN: ['1939-0807', '1939-2346']
DOI: https://doi.org/10.1216/jca.2022.14.515