Elasticity of factorizations in \(R_{0}+XR_{1}+\cdots +X^{l}R_{l}[X]\)
type: Item
instance of: scholarly article
title: Elasticity of factorizations in \(R_{0}+XR_{1}+\cdots +X^{l}R_{l}[X]\)
zbMATH Open document ID: 1055.13001
DOI: 10.1007/BF03322773
author: Wolfgang Hassler
published in: Results in Mathematics
publication date: 2003-10-29T00:00:00Z
review text: The author considers domains \(D=R_0+XR_1+\cdots+X^{l-1}R_{l-1}+X^lR_l[X]\), where \(R_0\subset R_1\subset \dots\subset R_l\) are finitely generated domains, with \(R_l\) integral over \(R_0\). A necessary and sufficient condition is given for the finiteness of elasticity of \(D\), defined as \(\sup\{m/n:\;u_1\cdots u_m=v_1\cdots v_n\), where \(u_i,v_j\) are irreducible\(\}\), in the case when \(R_0\) is not a field.
Mathematics Subject Classification ID: 13A05
Mathematics Subject Classification ID: 13G05
Mathematics Subject Classification ID: 11R27
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13F15
zbMATH DE Number: 1997874
zbMATH Keywords: elasticity
zbMATH Keywords: factorizations
zbMATH Keywords: finitely generated domain
Wikidata QID: Q114233694
reviewed by: Władysław Narkiewicz
MaRDI profile type: Publication
cites work: Q4342479
cites work: Q4343531
cites work: Factorization in integral domains
cites work: Elasticity of \(A+XB[X]\) domains
cites work: Elasticity and ramification
cites work: Elasticity of factorizations in atomic monoids and integral domains
description: scientific article; zbMATH DE number 1997874