On the implicit constant fields and key polynomials for valuation algebraic extensions

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DC Field	Value	Language
dc.contributor.author	Dutta, Arpan	-
dc.date.accessioned	2023-08-23T17:39:53Z	-
dc.date.available	2023-08-23T17:39:53Z	-
dc.date.issued	2022	-
dc.identifier.citation	Journal of Commutative Algebra, 14(4), 515-525.	en_US
dc.identifier.uri	https://doi.org/10.1216/jca.2022.14.515	-
dc.identifier.uri	http://hdl.handle.net/123456789/5114	-
dc.description	Only IISER Mohali authors are available in the record.	en_US
dc.description.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 IC(K(X)∣K,v) when (K(X)∣K,v) 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 v over K over in the setting of valuation algebraic extensions.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Rocky Mountain Mathematics Consortium	en_US
dc.subject	Implicit constant	en_US
dc.subject	Algebraic extensions	en_US
dc.title	On the implicit constant fields and key polynomials for valuation algebraic extensions	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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