Décompositions et Lax-complétions
Dense morphisms of monads.
Descent for monads.
Descent in categories of (co)algebras.
Differential algebra in a topos
Distributive adjoint strings.
Distributive laws and Koszulness
Distributive law is a way to compose two algebraic structures, say and , into a more complex algebraic structure . The aim of this paper is to understand distributive laws in terms of operads. The central result says that if the operads corresponding respectively to and are Koszul, then the operad corresponding to is Koszul as well. An application to the cohomology of configuration spaces is given.
Distributive laws. Applications to stochastic automata. (Lois distributives. Applications aux automates stochastiques.)
Distributive laws for pseudomonads.
Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras
We investigate the triples in the category of compacta whose functorial parts are normal functors in the sense of E.V. Shchepin (normal triples). The problem of lifting of functors to the categories of algebras of the normal triples is considered. The distributive law for normal triples is completely described.
Doctrines on 2-Categories.
Doctrines whose structure forms a fully faithful adjoint string.
Dualities of concrete categories