Linear Relations of Finite Length Modules are Shift Equivalent to Maps
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914580890910720 |
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| author | Furmanek, Bartosz Łanecki, Filip Oskar Przybylski, Mateusz Wiseman, Jim |
| author_facet | Furmanek, Bartosz Łanecki, Filip Oskar Przybylski, Mateusz Wiseman, Jim |
| contents | Linear relations, defined as submodules of the direct sum of two modules, can be viewed as objects that carry dynamical information and reflect the inherent uncertainty of sampled dynamics. These objects also provide an algebraic structure that enables the definition of subtle invariants for dynamical systems. In this paper, we prove that linear relations defined on modules of finite length are shift equivalent to bijective mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10829 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear Relations of Finite Length Modules are Shift Equivalent to Maps Furmanek, Bartosz Łanecki, Filip Oskar Przybylski, Mateusz Wiseman, Jim Dynamical Systems 37B30 (Primary), 18B10 (Secondary) Linear relations, defined as submodules of the direct sum of two modules, can be viewed as objects that carry dynamical information and reflect the inherent uncertainty of sampled dynamics. These objects also provide an algebraic structure that enables the definition of subtle invariants for dynamical systems. In this paper, we prove that linear relations defined on modules of finite length are shift equivalent to bijective mappings. |
| title | Linear Relations of Finite Length Modules are Shift Equivalent to Maps |
| topic | Dynamical Systems 37B30 (Primary), 18B10 (Secondary) |
| url | https://arxiv.org/abs/2503.10829 |