About on distinguished chains

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dc.authorscopusid55777003300
dc.authorscopusid35300580700
dc.contributor.authorÖztürk B.
dc.contributor.authorÖke F.
dc.date.accessioned2024-06-12T10:29:19Z
dc.date.available2024-06-12T10:29:19Z
dc.date.issued2024
dc.description.abstractLet v be a valuation of a field K and a = a0, a1, …, am be a complete distinguished chain for a ? ¯K\K. Let va be the extension of the valuation v to the field K(a). In this study some properties provided by distinguished pairs and lifting polynomials used to define a residual algebraic free extension of v to the rational function field K(x) are obtained. The value group and residue field of the valuation va are written with the help of constants ?K (ai) and minimal polynomials of the elements in the chain. In addition to the relations between value groups and residue fields of the valuations vai bi of the fields K(ai, bi) are studied by considering two chains a = a0, a1, …, am and b = b0, b1, …, bm. © 2024, MTJPAM Turkey. All rights reserved.en_US
dc.identifier.endpage110en_US
dc.identifier.issn2687-4814
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85187889214en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage107en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14551/17701
dc.identifier.volume6en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMTJPAM Turkeyen_US
dc.relation.ispartofMontes Taurus Journal of Pure and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDistinguished Pairs; Lifting Polynomials; Transcendental Extensions; Valuationsen_US
dc.titleAbout on distinguished chainsen_US
dc.typeArticleen_US

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