Factorization and non-algebraic categories
Fermeture standard des catégories algébriques II
Fibrations in bicategories
Finitely presentable morphisms in exact sequences.
Foncteur pleinement fidèle dense classant les algèbres
Foncteurs sous-objets et relations continues
Formulas and ultraproducts in categories
Free algebras and automata realizations in the language of categories
Free algebras in varieties
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.
Free algebras, input processes and free monads
Free, iteratively closed categories of complete lattices
From where do figurative algebras come ?