Pseudo-valuation maps and pseudo-valuation domains

Abstract

Corresponding to a valuation map there exist a valuation do- main and vice versa. In this aticle we established a pseudo-valuation map ω from K ∗ to G ∗ (a partiallly ordererd group equipped with ∗ property), then constructed a pseudo-valuation domain. We confirmed our map ω by using it while generating the few characteristics of Pseudovaluation domains.