Abstract
An endomorphism on an algebra \(\mathcal {A}\) is said to be strong if it is compatible with every congruence on \(\mathcal {A}\); and \(\mathcal {A}\) is said to have the strong endomorphism kernel property if every congruence on \(\mathcal {A}\), other than the universal congruence, is the kernel of a strong endomorphism on \(\mathcal {A}\). Here we characterise the structure of those double MS-algebras that have this property by the way of Priestley duality.
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The author would like to express his appreciation to the referee for very helpful comments and suggestions.
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Fang, J. The Strong Endomorphism Kernel Property in Double MS-Algebras. Stud Logica 105, 995–1013 (2017). https://doi.org/10.1007/s11225-017-9722-3
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DOI: https://doi.org/10.1007/s11225-017-9722-3