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 space is r...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/504160 |
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| _version_ | 1849305067030577152 |
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| author | Sheng Chen Chao Xia |
| author_facet | Sheng Chen Chao Xia |
| author_sort | Sheng Chen |
| collection | DOAJ |
| 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 | Article |
| id | doaj-art-08cc7a6dddb64261bef5ae1766d13a8e |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-08cc7a6dddb64261bef5ae1766d13a8e2025-08-20T03:55:33ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/504160504160On Rationality of Kneading DeterminantsSheng Chen0Chao Xia1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaIn 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.http://dx.doi.org/10.1155/2014/504160 |
| spellingShingle | Sheng Chen Chao Xia On Rationality of Kneading Determinants The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/504160 |
| work_keys_str_mv | AT shengchen onrationalityofkneadingdeterminants AT chaoxia onrationalityofkneadingdeterminants |