The Strong Endomorphism Kernel Property in Double MS-Algebras

Studia Logica 105 (5):995-1013 (2017)
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An endomorphism on an algebra \ is said to be strong if it is compatible with every congruence on \; and \ is said to have the strong endomorphism kernel property if every congruence on \, other than the universal congruence, is the kernel of a strong endomorphism on \. Here we characterise the structure of those double MS-algebras that have this property by the way of Priestley duality.
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