The Balanced Pseudocomplemented Ockham Algebras with the Strong Endomorphism Kernel Property

摘要

An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A; and A is said to have the strong endomorphism kernel property if every congruence on A, other than the universal congruence, is the kernel of a strong endomorphism on A. Here we characterise the structure of Ockham algebras with balanced pseudocomplementation those that have this property via Priestley duality.