Percorrer por autor "Gray, J. R. A."
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- New exactness conditions involving split cubes in protomodular categoriesPublication . Gray, J. R. A.; Martins-Ferreira, NelsonWe introduce and compare several new exactness conditions involving what we call split cubes. These conditions are motivated by their special cases, some which become familiar, in the pointed context, once we reformulate them with split cubes replaced with split extensions.
- On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product ProjectionsPublication . Gray, J. R. A.; Martins-Ferreira, NelsonWe 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.