Localizations of Maltsev Varietiesmarino Gran and Enrico

Localizations of Maltsev Varieties

We give an abstract characterization of categories which are localizations of Maltsev varieties. These results can be applied to characterize localizations of naturally Maltsev varieties.

Centrality and Normality in Protomodular Categories

We analyse the classical property of centrality of equivalence relations in terms of normal monomorphisms. For this purpose, the internal structure of connector is introduced, allowing to clarify classical results in Maltsev categories and to prove new ones in protomodular categories. This approach allows to work in the general context of finitely complete categories, without requiring the usua...

Enrico Drioli and His Life Time Love Affair with Membrane Science

SEMI - ABELIAN MONADIC CATEGORIES Dedicated to Aurelio Carboni on the occasion of his sixtieth birthday . MARINO GRAN AND

We characterize semi-abelian monadic categories and their localizations. These results are then used to obtain a characterization of pointed protomodular quasimonadic categories, and in particular of protomodular quasivarieties.

Essential Localizations and Infinitary Exact Completion

We prove the universal property of the infinitary exact completion of a category with weak small limits. As an application, we slightly weaken the conditions characterizing essential localizations of varieties (in particular, of module categories) and of presheaf categories. Introduction An essential localization is a reflective subcategory such that the reflector has a left adjoint. In [12], R...