On the notion of precohomology
On the pullback stability of a quotient map with respect to a closure operator.
Order-enriched solid functors
Order-enriched solid functors, as presented in this paper in two versions, enjoy many of the strong properties of their ordinary counterparts, including the transfer of the existence of weighted (co)limits from their codomains to their domains. The ordinary version of the notion first appeared in Trnková's work on automata theory of the 1970s and was subsequently studied by others under various names, before being put into a general enriched context by C. Anghel. Our focus in this paper is on differentiating...
-embeddings, AR and ANR spaces.
Presheaves over the sets which need not be well ordered, functional separation of their inductive limits and their representation by sections
Productive representations of semigroups by pairs of structures
Produit tensoriel de matrices, homologie cyclique, homologie des algèbres de Lie
On munit, naturellement, d’un surproduit l’algèbre extérieure de l’homologie cyclique d’une -algèbre commutative ( étant un corps de caractéristique zéro) à l’aide du produit de Loday-Quillen. On munit d’un surproduit l’homologie de l’algèbre de Lie du groupe linéaire général de à l’aide du produit tensoriel de matrices. On montre que l’isomorphisme d’algèbres de Hopf de Loday-Quillen est compatible avec les surproduits définis ci-dessus. On obtient ainsi une interprétation du produit de Loday-Quillen,...
Profinite relational structures
Projective limits of topological algebras
Pullback and finite coproduct preserving functors between categories of permutation representations.
Pullback and finite coproduct preserving functors between categories of permutation representations: corrigendum and addendum.
Pullbacks equivalent to pseudopullbacks
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof.
Push-outs and strict projective limits of semilattices.
Quasi-reflections and limits
Recollement of colimit categories and its applications
We give an explicit recollement for a cocomplete abelian category and its colimit category. We obtain some applications on Leavitt path algebras, derived equivalences and -groups.
Representation of semigroups by products of simple graphs
Some generalizations of the notions limit and colimit
Some Remarks or v-Ideal Systems and Categories of semigroups
Stability of algebraic inverse systems, I: Stability, weak stability and the weakly-stable socle