Oke, Figen2024-06-122024-06-1220160354-5180https://doi.org/10.2298/FIL1604077Ohttps://hdl.handle.net/20.500.14551/20974In this study the residual algebraic free extension of a valuation on a field K to K(x) is studied. It is assumed that v is a valuation on K with rankv = 2 and the residual algebraic free extension w of v to K(x) with rankw = 3 is defined for a special case.en10.2298/FIL1604077Oinfo:eu-repo/semantics/openAccessExtensions Of ValuationsResidual Algebraic Free ExtensionsValued FieldsArticle30410771080Q2WOS:0003784038000232-s2.0-84966393352Q3