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Non-Pointed Strongly Protomodular Theories
Authors:F Borceux
Affiliation:(1) Faculté des Sciences, Université Catholique de Louvain, Louvain-la-Neuve, Belgium. e-mail
Abstract:We give criterions for strong protomodularity and prove that the strong protomodularity of an algebraic theory is inherited by its models in a category with finite limits. We give examples of strongly protomodular theories with several constants: C *-algebras, rings, Heyting algebras and Boolean algebras.
Keywords:strongly protomodular category  semi-Abelian category  normal subobject  C *-algebra  ring  Boolean algebra  Heyting algebra
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