Surprising occurrences of order structures in mathematics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | |
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| _version_ | 1866909166264647680 |
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| author | Fløystad, Gunnar |
| author_facet | Fløystad, Gunnar |
| contents | Order and symmetry are main structural principles in mathematics. We give five examples where on the face of it order is not apparent, but deeper investigations reveal that they are governed by order structures. These examples are finite topologies, associative algebras, subgroups of matrix groups, ideals in polynomial rings, and classes of bipartite graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01468 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Surprising occurrences of order structures in mathematics Fløystad, Gunnar History and Overview Commutative Algebra Combinatorics Category Theory Rings and Algebras Primary: 06-02, Secondary: 06A06, 13F55, 13F20, 16G99, 20G07, 54A99 Order and symmetry are main structural principles in mathematics. We give five examples where on the face of it order is not apparent, but deeper investigations reveal that they are governed by order structures. These examples are finite topologies, associative algebras, subgroups of matrix groups, ideals in polynomial rings, and classes of bipartite graphs. |
| title | Surprising occurrences of order structures in mathematics |
| topic | History and Overview Commutative Algebra Combinatorics Category Theory Rings and Algebras Primary: 06-02, Secondary: 06A06, 13F55, 13F20, 16G99, 20G07, 54A99 |
| url | https://arxiv.org/abs/2309.01468 |