On bornological semi-abelian algebras
If T is a semi-abelian algebraic theory, we prove that the category BornT of bornological T-algebras is homological with semi-direct products. We give a formal criterion for the representability of actions in BornT and, for a bornological T-algebra X, we investigate the relation between the represen...
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2021
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| Texto completo: | http://hdl.handle.net/10316/101221 |
| País: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/101221 |
| Resumo: | If T is a semi-abelian algebraic theory, we prove that the category BornT of bornological T-algebras is homological with semi-direct products. We give a formal criterion for the representability of actions in BornT and, for a bornological T-algebra X, we investigate the relation between the representability of actions on X as a T-algebra and as a bornological T- algebra. We investigate further the algebraic coherence and the algebraic local cartesian closedness of BornT and prove in particular that both properties hold in the case of bornological groups. |
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