\(t\)-valuations and the theory of quasi-divisors
type: Item
instance of: scholarly article
title: \(t\)-valuations and the theory of quasi-divisors
zbMATH Open document ID: 0885.06008
DOI: 10.1016/S0022-4049(96)00059-X
published in: Journal of Pure and Applied Algebra
publication date: 1998-04-23T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 13F05
zbMATH DE Number: 1061805
zbMATH Keywords: partially ordered groups
zbMATH Keywords: quasi-divisors
zbMATH Keywords: \((F)\)-condition
zbMATH Keywords: independence
zbMATH Keywords: \(t\)-valuations
author: Jiří Močkoř
reviewed by: Franz Halter-Koch
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1061805