Coalgebraic models of Omega-groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912700790996992 |
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| author | Bevilacqua, Maria |
| author_facet | Bevilacqua, Maria |
| contents | We investigate models of algebraic theories in the category of cocommutative coalgebras over a field. We establish some of their categorical properties, similar to those of algebraic varieties. We introduce a class of categories of coalgebraic models of algebraic theories endowed with an underlying structure of cocommutative Hopf algebra, and show that these categories are semi-abelian. We call them ``categories of Omega-Hopf algebras'', since it is possible to characterize them as coalgebraic models of algebraic theories of Omega-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22653 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coalgebraic models of Omega-groups Bevilacqua, Maria Category Theory Logic Quantum Algebra Rings and Algebras We investigate models of algebraic theories in the category of cocommutative coalgebras over a field. We establish some of their categorical properties, similar to those of algebraic varieties. We introduce a class of categories of coalgebraic models of algebraic theories endowed with an underlying structure of cocommutative Hopf algebra, and show that these categories are semi-abelian. We call them ``categories of Omega-Hopf algebras'', since it is possible to characterize them as coalgebraic models of algebraic theories of Omega-groups. |
| title | Coalgebraic models of Omega-groups |
| topic | Category Theory Logic Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2510.22653 |