Gray, J. R. A.Martins-Ferreira, Nelson2025-07-142025-07-142015-06Gray, James & Martins-Ferreira, Nelson. (2012). On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projections. Applied Categorical Structures. 23. 10.1007/s10485-013-9336-5.0927-28521572-9095http://hdl.handle.net/10400.8/13634We characterize those varieties of universal algebras where every split epimorphism considered as a map of sets is a product projection. In addition we obtain new characterizations of semi-abelian, protomodular, unital and subtractive varieties as well as varieties of right Ω-loops and biternary systems.engalgebraic theoriesprotomodularright omega-loopssemi-abeliansplit epimorphismsSplit extensionssubtractiveunitaljournal article10.1007/s10485-013-9336-5