Some Co-Birkhoff Type Theorems

Autor:	Jesse Hughes
Rok vydání:	2002
Předmět:	Vertex (graph theory) Combinatorics Pure mathematics Functor General Computer Science Computer Science::Logic in Computer Science Mathematics::Category Theory Mathematics::Rings and Algebras Subobject Computer Science(all) Theoretical Computer Science Mathematics
Zdroj:	CMCS
ISSN:	1571-0661
DOI:	10.1016/s1571-0661(04)80361-x
Popis:	We consider the dual of Theorem 1 from [33], relating closure conditions on subcategories with projectivity classes for collections of discrete cocones. We extend these results by adding a new operator for closure under domains of epis and show that this corresponds to taking projectivity classes for cocones with vertex a subobject of the terminal object. We show that these theorems apply to categories of coalgebras under reasonable assumptions on the base category and endofunctor. Lastly, we discuss cofree for V coalgebras in this setting and give examples of so-called Horn covarieties of coalgebras.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be4bfba5420b49013e76102978e0887c https://doi.org/10.1016/s1571-0661(04)80361-x Zobrazit plný text záznamu Full Text from ScienceDirect