The Strong Endomorphism Kernel Property in Ockham Algebras |
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| Authors: | T S Blyth H J Silva |
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| Institution: | 1. Mathematical Institute , University of St. Andrews , Scotland, United Kingdom tsb@st-and.ac.uk;3. Department of Mathematics, F.C.T. , Universidade Nova de Lisboa , Portugal |
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| Abstract: | 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, different from the universal congruence, is the kernel of a strong endomorphism on 𝒜. Here we consider this property in the context of Ockham algebras. In particular, for those MS-algebras that have this property we describe the structure of their dual space in terms of 1-point compactifications of discrete spaces. |
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| Keywords: | Endomorphism kernel Ockham algebra 1-point compactification |
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