Title: Convex congruences
Language: English
Authors: Länger, Helmut
Chajda, Ivan 
Category: Research Article
Keywords: Convex class; Convex congruence; Algebra with induced order; BCK-algebra; BCI-algebra
Issue Date: 2016
Journal: Soft Computing
For an algebra A belonging to a quasivariety K, the quotient A/Θ need not belong to K for every Θ∈Con A. The natural question arises for which Θ∈Con A,A/Θ∈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/Θ 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.
DOI: 10.1007/s00500-016-2306-8
Library ID: AC11360168
URN: urn:nbn:at:at-ubtuw:3-1944
ISSN: 1433-7479
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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