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The connection between the syntactic congruence given here and composition-representability is then provided by Corollary 5.2, where it is shown that a subset R
We consider the category ccd(set) whose objects are CCD lattices, and whose arrows are those order functions that have both, a left adjoint and a.. Proposition 5.3 gives us ii)
And people knew quite well that if every object of a “linear category” is equipped with a comonoid structure, and if every map in that category respects the comonoid structure
As evidence that this condition characterizes the interaction between finite limits and coequalizers of kernel pairs in a topos, we have on the one hand, the fact that any topos is
Wallace proved that if R is a closed congruence defined on a compact topological semigroup S then S/R with the quotient topol- ogy and the standard multiplication is a
The rst is the epimorphi hull due to Storrer, a ring that is dened by a universal property.. whose formulation
Without loss of generality, we can assume that a regular epimorphism is a quotient functor of the principal congruence generated by a relation defined on single morphisms only..
In the context of Mal’cev categories, a left exact root for the congruence distributive property is given and investigated, namely the property that there is no non trivial
