5 papers
Torsion Theories in a non-pointed Context II: iterated torsion theories
Andrea Cappelletti, Andrea Montoli
Generalizing a known result in the context of homological categories, we show that, in a regular protomodular category equipped with a posetal, monocoreflective subca…
Torsion Theories in a Non-pointed Context
Andrea Cappelletti, Andrea Montoli
We study a non-pointed version of the notion of torsion theory in the framework of categories equipped with a posetal monocoreflective subcategory such that the coreflector inverts…
Homological Lemmas in a Non-pointed Context
Andrea Cappelletti, Andrea Montoli
We show that non-pointed versions of the classical homological lemmas hold in regular protomodular categories equipped with a suitable posetal monocoreflective subcategory. Example…
A Galois Theory and a Pretorsion Theory in MV-Algebras
Andrea Cappelletti
We explore the relationship between the category of MV-algebras and its full subcategories of perfect and semisimple algebras, showing that this pair of subcategories defines a pre…
Categorical-Algebraic Properties of Lattice-ordered Groups
Andrea Cappelletti
We study the categorical-algebraic properties of the semi-abelian variety of lattice-ordered groups. In particular, we show that this category is fiber-wise alg…