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arXiv · 1208.2032

On algebraic and more general categories whose split epimorphisms have underlying product projections

James R. A. Gray·Nelson Martins-Ferreira
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Abstract

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 protomodular, unital and subtractive varieties as well as varieties of right omega-loops and biternary systems.

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James R. A. Gray, Nelson Martins-Ferreira. 2012-08-09. On algebraic and more general categories whose split epimorphisms have underlying product projections. https://arxiv.org/abs/1208.2032

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