The Journal of the Indian Mathematical Society

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On Existence of Residual Transcendental Extensions of Valuations on K to K (x1, ..., xn)


Affiliations
1 Department of Mathematics, Trakya University, 22030 Edirne, Turkey
     

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In this paper the existence of residual transcendental extensions of finitely many valuations of K which are independent in pairs to K(x1, ...,xn) with given residue fields and value groups is studied.

Keywords

Extensions of Valuations, Residue Field, Value Group.
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  • On Existence of Residual Transcendental Extensions of Valuations on K to K (x1, ..., xn)

Abstract Views: 159  |  PDF Views: 1

Authors

Figen Oke
Department of Mathematics, Trakya University, 22030 Edirne, Turkey

Abstract


In this paper the existence of residual transcendental extensions of finitely many valuations of K which are independent in pairs to K(x1, ...,xn) with given residue fields and value groups is studied.

Keywords


Extensions of Valuations, Residue Field, Value Group.