Some monounary algebras with EKP

Abstract

An algebra $\cal A$ is said to have the endomorphism kernel property (EKP) if every congruence on $\cal A$ is the kernel of some endomorphism of $\cal A$. Three classes of monounary algebras are dealt with. For these classes, all monounary algebras with EKP are described.

Keywords

• monounary algebra
• endomorphism
• congruence
• kernel