DESCENT OF INTERNAL CATEGORIES RELATIVE TO SPLIT EPIS

Publications

On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projections

Publication . Gray, J. R. A.; Martins-Ferreira, Nelson

We 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.

2015-06Journal article

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