Abstract

Weak Stone-Ockham algebras are those algebras (L; ∧, ∨, f,⋆,0,1) of type 〈2,2,1,1,0,0〉, where (L; ∧, ∨, f,0,1) is an Ockham algebra, (L; ∧, ∨,⋆,0,1) is a weak Stone algebra, and the unary operations f and⋆commute. In this paper, we give a complete description of the structure of the lattice of congruences on the subdirectly irreducible algebras.

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