On quasi divisor theories and systems of valuations
type: Item
instance of: scholarly article
title: On quasi divisor theories and systems of valuations
zbMATH Open document ID: 0846.13002
DOI: 10.1007/BF01299638
author: Alfred Geroldinger
author: Franz Halter-Koch
published in: Monatshefte für Mathematik
publication date: 1996-05-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178712
review text: The authors study a relationship between divisor theories and systems of valuations and characterize monoids with quasi-divisor theories of finite character by systems of essential valuations. A fresh approach towards the realization theorem of Krull-Kaplansky-Jaffard-Ohm is given using divisor theoretical methods.
reviewed by: Sudesh Kaur Khanduja
Mathematics Subject Classification ID: 13A18
Mathematics Subject Classification ID: 13A05
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 13F05
zbMATH DE Number: 854278
zbMATH Keywords: divisor
zbMATH Keywords: systems of valuations
MaRDI profile type: Publication
cites work: Divisors of finite character
cites work: Arithmetic and ideal theory of commutative semigroups
cites work: Arithmetical theory of monoid homomorphisms
cites work: Quasi-divisor theories and generalizations of Krull domains
cites work: Q3681045
cites work: An approximation theorem for semigroups with divisor theory
cites work: Q3309960
cites work: Q4272748
Recommended article: \(t\)-valuations and the theory of quasi-divisors
Recommended article: Q3351486
Recommended article: On quasi-valuation domains
Recommended article: Quasi-valuations and algebras over valuation domains
Recommended article: Q5559636
Recommended article: Q4253938
Recommended article: Quasi-divisor theories and generalizations of Krull domains
Recommended article: Q4406211
Recommended article: Q3153404
Recommended article: Quasi-quadratic modules in valuation rings and valued fields
description: scientific article; zbMATH DE number 854278