In this article a sufficient condition on a star-regular category is introduced guaranteeing that regular epimorphisms are effective descent morphisms. This condition is satisfied by any category with a good theory of ideals (thus, in particular, by any ideal determined category), by any almost abelian category (for instance, by the categories of torsion abelian groups, torsion-free abelian groups, normed vector spaces, Banach spaces, locally compact abelian groups, etc.) and by any category of topological Mal'tsev algebras (in particular, by the category of topological groups).
展开▼
