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