Abstract
A pO-algebra \({(L; f, \, ^{\star})}\) is an algebra in which (L; f) is an Ockham algebra, \({(L; \, ^{\star})}\) is a p-algebra, and the unary operations f and \({^{\star}}\) commute. Here we consider the endomorphism monoid of such an algebra. If \({(L; f, \, ^{\star})}\) is a subdirectly irreducible pK 1,1- algebra then every endomorphism \({\vartheta}\) is a monomorphism or \({\vartheta^3 = \vartheta}\) . When L is finite the endomorphism monoid of L is regular, and we determine precisely when it is a Clifford monoid.
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References
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Blyth, T.S., Fang, J. On Endomorphisms of Ockham Algebras with Pseudocomplementation. Stud Logica 98, 237–250 (2011). https://doi.org/10.1007/s11225-011-9327-1
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DOI: https://doi.org/10.1007/s11225-011-9327-1