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

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

http://hdl.handle.net/10400.8/13634

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Authors

Gray, J. R. A.

Martins-Ferreira, Nelson

Abstract(s)

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.

Keywords

algebraic theories protomodular right omega-loops semi-abelian split epimorphisms Split extensions subtractive unital

URI

http://hdl.handle.net/10400.8/13634

Citation

Gray, 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.