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https://hdl.handle.net/10316/101221
Título: | On bornological semi-abelian algebras | Autor: | Borceux, Francis Clementino, Maria Manuel |
Palavras-chave: | Semi-abelian algebraic theory; bornology; bornological algebra; bornological group; action representability; algebraic coherence; local algebraic cartesian closedness | Data: | 2021 | Projeto: | Centre for Mathematics of the University of Coimbra { UID/MAT/00324/2019, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. | Título da revista, periódico, livro ou evento: | Categories and General Algebraic Structures with Applications | Volume: | 14 | Número: | 1 | 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. | URI: | https://hdl.handle.net/10316/101221 | ISSN: | 23455853 23455861 |
DOI: | 10.29252/cgasa.14.1.181 | Direitos: | openAccess |
Aparece nas coleções: | I&D CMUC - Artigos em Revistas Internacionais |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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On-bornological-semiabelian-algebrasCategories-and-General-Algebraic-Structures-with-Applications.pdf | 505.28 kB | Adobe PDF | Ver/Abrir |
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