Abstract
An algebraic structure \({\fancyscript A}\) is said to have the endomorphism kernel property if every congruence on \({\fancyscript A}\) , other than the universal congruence, is the kernel of an endomorphism on \({\fancyscript A}\) . In this paper, we consider the EKP (that is, endomorphism kernel property) for an extended Ockham algebra \({\fancyscript A}\) . In particular, we describe the structure of the finite symmetric extended de Morgan algebras having EKP.
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