-purity and orthogonality.
A concentration of categories with non-injective monomorphisms
A generalized duality theorem for structure functors
A note on categories of partial algebras
A note on epimorphisms of compact Lawson semilattices.
A note on generators in categories
A note on ring epimorphisms and polynomial identities
A note on subobjects defined by limit construction
Abstract initiality
We study morphisms that are initial w.r.t. all functors in a given conglomerate. Several results and counterexamples are obtained concerning the relation of such properties to different notions of subobject. E.g., strong monomorphisms are initial w.r.t. all faithful adjoint functors, but not necessarily w.r.t. all faithful monomorphism-preserving functors; morphisms that are initial w.r.t. all faithful monomorphism-preserving functors are monomorphisms, but need not be extremal; and (under weak...
Algebraically closed and existentially closed substructures in categorical context.
Applications of the induced morphism theorem in regular categories
Bimorphisms in pro-homotopy and proper homotopy
A morphism of a category which is simultaneously an epimorphism and a monomorphism is called a bimorphism. The category is balanced if every bimorphism is an isomorphism. In the paper properties of bimorphisms of several categories are discussed (pro-homotopy, shape, proper homotopy) and the question of those categories being balanced is raised. Our most interesting result is that a bimorphism f:X → Y of is an isomorphism if Y is movable. Recall that is the full subcategory of consisting of...
Cantors Diagonalprinzip für Kategorien.
Categories of components and loop-free categories.
Characterization of pointed varieties of universal algebras with normal projections.
Closure operators, monomorphisms and epimorphisms in categories of groups
Cohomologies et extensions de catégories.
Commutator theory in strongly protomodular categories.
Compact objects surjectivity of epimorphisms and compactifications
Compactifications, and ring epimorphisms.