Existence de diagrammes localement libres II
Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday).
Exponentiability in homotopy slices of TOP and pseudo-slices of CAT.
Extension theories for monoids.
Extensions de théories de Lawvere. Thèse de doctorat de mathématiques
Extensions in the theory of lax algebras.
Extensions of functors and their applications
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 ?
Generalizing substitution
It is well known that, given an endofunctor on a category , the initial -algebras (if existing), i.e., the algebras of (wellfounded) -terms over different variable supplies , give rise to a monad with substitution as the extension operation (the free monad induced by the functor ). Moss [17] and Aczel, Adámek, Milius and Velebil [2] have shown that a similar monad, which even enjoys the additional special property of having iterations for all guarded substitution rules (complete iterativeness),...