\(t\)-valuations and the theory of quasi-divisors
The author investigates po-groups possessing a theory of quasi-divisors as introduced by \textit{K. E. Aubert} [``Divisors of finite character'', Ann. Mat. Pura Appl., IV. Ser. 133, 327-361 (1983; Zbl 0533.20034)]. In particular, he addresses to quasi-divisor theories of finite character, Conrad's \((F)\)-condition, independence properties and associated \(t\)-valuations. Most of the results are (in another language) contained in the reviewer's survey article [``Valuation monoids, defining systems, and approximation theorems'', Semigroup Forum 55, 33-56 (1997; Zbl 0880.20047)].
scientific article; zbMATH DE number 1061805
scientific article