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