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
On the Boundedness of Topological Categories.
On the categorical shape of a functor
On the characterization of monadic categories over set
On the co-completeness of the category of Hausdorff uniform spaces.
On the exact completion of the homotopy category
On the External Characterization of Topological Functors.
On the geometry of computations
On the geometry of computations, II
On the Grothendieck topologies in the toposes of presheaves
On the integrality of the Witt polynomials.
On the -valued categories of --ordered sets
The aim of this paper is to construct an -valued category whose objects are --ordered sets. To reach the goal, first, we construct a category whose objects are --ordered sets and morphisms are order-preserving mappings (in a fuzzy sense). For the morphisms of the category we define the degree to which each morphism is an order-preserving mapping and as a result we obtain an -valued category. Further we investigate the properties of this category, namely, we observe some special objects, special...
On the monadicity of categories with chosen colimits.
On the monadicity over graphs of categories with limits