Minimal pairs, minimal fields and implicit constant fields

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DC Field	Value	Language
dc.contributor.author	Dutta, Arpan	-
dc.date.accessioned	2023-08-24T11:01:27Z	-
dc.date.available	2023-08-24T11:01:27Z	-
dc.date.issued	2021	-
dc.identifier.citation	Journal of Algebra, 588, 479–514.	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jalgebra.2021.09.008	-
dc.identifier.uri	http://hdl.handle.net/123456789/5168	-
dc.description	Only IISER Mohali authors are available in the record.	en_US
dc.description.abstract	Minimal pairs of definition were introduced by Alexandru, Popescu and Zaharescu [3], [4], [5] to study residue transcendental extensions. In this paper we obtain analogous results in the value transcendental case. We introduce the notion of minimal fields of definition for valuation transcendental extensions and show that they share some common ramification theoretic properties. The connection between minimal fields of definition and implicit constant fields is also investigated. Further, we explore the relationship between valuation transcendental extensions and pseudo-Cauchy sequences.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Elsevier	en_US
dc.subject	Valuation	en_US
dc.subject	Minimal pairs	en_US
dc.subject	Key polynomials	en_US
dc.subject	Pseudo-Cauchy sequences	en_US
dc.subject	Valuation transcendental extensions	en_US
dc.title	Minimal pairs, minimal fields and implicit constant fields	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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