Quasi-one-fibered ideals in two-dimensional Muhly local domains
A two-dimensional local ring \((R,M)\) is called a Muhly domain, if it is a two-dimensional normal Noetherian local domain with algebraically closed residue field and with the associated graded ring an integrally closed domain. The \(M\)-adic order function \(\mathrm{ord}_R\) of a Muhly domain is a valuation denoted by \(v_M\). The set of all Rees valuations of an \(M\)-primary ideal \(I\) is denoted by \(T(I)\). An \(M\)-primary ideal \(I\) is called quasi-one-fibered, if \(T (I) \subset \{v_M, w\}\) and \(w\in T (I)\) where \(w\) denotes a prime divisor not equal with \(v_M\). The paper is about of the degree function coefficients of quasi-one-fibered \(M\)-primary ideals in two-dimensional Muhly local domains.
scientific article; zbMATH DE number 6017052
scientific article