%0 Journal Article %T Valuation Theory. Part I %A Grzegorz Bancerek %A Hidetsune Kobayashi %A Artur Korni owicz %J Formalized Mathematics %@ 1898-9934 %D 2012 %I %R 10.2478/v10037-012-0002-4 %X In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined. %U http://versita.metapress.com/content/j581371j87884484/?p=430716bb19384440aaea6ce45ed7408d&pi=1