Essentially equational categories
J. Adámek, H. Herrlich, J. Rosický (1988)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Birkhoff's variety theorem with and without free algebras.”
Essentially equational categories
Algebraic theories and varieties of functor algebras
Jan Reiterman (1983)
Fundamenta Mathematicae
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Free algebras in varieties
Jan Pavlík (2010)
Archivum Mathematicum
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We define varieties of algebras for an arbitrary endofunctor on a cocomplete category using pairs of natural transformations. This approach is proved to be equivalent to one of equational classes defined by equation arrows. Free algebras in the varieties are investigated and their existence is proved under the assumptions of accessibility.
On categories into which each concrete category can be embedded
Václav Koubek (1976)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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On categories into which each concrete category can be embedded. II
Václav Koubek (1977)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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On covarieties of coalgebras
Michal Marvan (1985)
Archivum Mathematicum
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