On Residually Generic Prolongations of a Valuation to a Simple Transcendental Extension

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Authors

  • Department of Mathematics, Panjab University, Chandigarh-160014 ,IN
  • Department of Mathematics, Panjab University, Chandigarh-160014 ,IN

Abstract

Throughout the paper K=K0(x) denotes a simple transcendental extension of a field K0ν0 a Krull valuation of K0, and ν a Prolongation of ν0 to K. Also A0⊆A. K0⊆k and G0⊆G denote respectively the valuation rings, residue fields and value groups of the Valuations ν0 and ν. For an element ξ in A, ξ* will stand for its image in the residue field k of ν. We shall some times refer to ξ* as the ν-residue of ξ.

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Published

1991-12-01

How to Cite

Khanduja, S. K., & Garg, U. (1991). On Residually Generic Prolongations of a Valuation to a Simple Transcendental Extension. The Journal of the Indian Mathematical Society, 57(1-4), 101–108. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21917