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Convex congruences
Ivan Chajda 1 · - Personal Name
Helmut Länger 2 - Personal Name
For an algebra A belonging to a quasivariety K, the quotient A/ need not belong to K for every ∈ Con A. The natural question arises for which ∈ Con A, A/ ∈ K. We consider algebras A = (A, →, 1) of type (2, 0) where a partial order relation is determined by the operations → and 1. Within these, we characterize congruences on A for which A/ belongs to the same quasivariety as A. In several particular cases, these congruences are determined by the
property that every class is a convex subset of A.
property that every class is a convex subset of A.
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