On Rationality of Kneading Determinants

In this section, R denotes a ring with identity I. We study conditions under which I − Aλ and I − Bλ are left coprime or right coprime, where A, B ∈ R. As applications, we get sufficient conditions under which the Kneading determinant of a finite rank pair of operators on an infinite dimensional spa...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Sheng, Xia, Chao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3948201/
https://www.ncbi.nlm.nih.gov/pubmed/24701173
http://dx.doi.org/10.1155/2014/504160
_version_ 1782306762258382848
author Chen, Sheng
Xia, Chao
author_facet Chen, Sheng
Xia, Chao
author_sort Chen, Sheng
collection PubMed
description In this section, R denotes a ring with identity I. We study conditions under which I − Aλ and I − Bλ are left coprime or right coprime, where A, B ∈ R. As applications, we get sufficient conditions under which the Kneading determinant of a finite rank pair of operators on an infinite dimensional space is rational.
format Online
Article
Text
id pubmed-3948201
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-39482012014-04-03 On Rationality of Kneading Determinants Chen, Sheng Xia, Chao ScientificWorldJournal Research Article In this section, R denotes a ring with identity I. We study conditions under which I − Aλ and I − Bλ are left coprime or right coprime, where A, B ∈ R. As applications, we get sufficient conditions under which the Kneading determinant of a finite rank pair of operators on an infinite dimensional space is rational. Hindawi Publishing Corporation 2014-02-18 /pmc/articles/PMC3948201/ /pubmed/24701173 http://dx.doi.org/10.1155/2014/504160 Text en Copyright © 2014 S. Chen and C. Xia. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chen, Sheng
Xia, Chao
On Rationality of Kneading Determinants
title On Rationality of Kneading Determinants
title_full On Rationality of Kneading Determinants
title_fullStr On Rationality of Kneading Determinants
title_full_unstemmed On Rationality of Kneading Determinants
title_short On Rationality of Kneading Determinants
title_sort on rationality of kneading determinants
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3948201/
https://www.ncbi.nlm.nih.gov/pubmed/24701173
http://dx.doi.org/10.1155/2014/504160
work_keys_str_mv AT chensheng onrationalityofkneadingdeterminants
AT xiachao onrationalityofkneadingdeterminants

Ejemplares similares