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Relatively compatible operations in BCK-algebras and some related algebras
(Oxford University Press, 2017-04)
Let A be a BCK-algebra and f :A k →A a function. The main goal of this article is to give a necessary and sufficient condition for f to be compatible with respect to every relative congruence of A. We extend this result ...
Factor congruences in BCK-algebras
(Springer Verlag Berlín, 2008-07-29)
In this paper, we characterize factor congruences in the quasivariety of BCK-algebras. As an application we prove that the free algebra over an infinite set of generators is indecomposable in any subvariety of BCK-algebras. ...