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Authors
Affiliations
1 Department of Mathematics, Panjab University, Chandigarh-160014, IN
Source
The Journal of the Indian Mathematical Society, Vol 57, No 1-4 (1991), Pagination: 101-108
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.