Title: On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projections published Applied Categorical Structures.
IPLeiria authores: Nuno Martins Ferreira
In the category of groups any split extension is, up to a bijection of pointed sets, a product projection, as illustrated in the figure. This work characterizes those varieties of universal algebras which have this property. This result has applications for example in the study of semi-direct products of topological algebras.