On ideals and homology in additive categories.
On invariant multiplications in a category
On Inverse Limit Of Function Spaces
On limits and colimits in the Kleisli category
On Mackey topologies in topological abelian groups.
On product and change of base for toposes
On projectiveness in H-closed spaces
On property-like structures.
On pure quotients and pure subobjects
In the theory of accessible categories, pure subobjects, i.e. filtered colimits of split monomorphisms, play an important role. Here we investigate pure quotients, i.e., filtered colimits of split epimorphisms. For example, in abelian, finitely accessible categories, these are precisely the cokernels of pure subobjects, and pure subobjects are precisely the kernels of pure quotients.
On rich monoids
On saturated classes of morphisms.
On sifted colimits and generalized varieties.
On simply bireflective subcategories
On some adjunctions between the categories of adjunction-morphisms and monad-morphisms
On some properties of pure morphisms of commutative rings.
On strong monomorphisms and strong epimorphisms.
On subdirect irreducibility and its variants
On subdirect irreducibility in semiregular categories
On subfunctors of the identity
On sums in generalized algebraic categories