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A note on subdirectly irreducible distributive double p-algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
A regular double p-algebra L satisfying (i) ∩(xn(+*); n < ω) for every 1 ≠ x ∈ L and (ii) L is not subdirectly irreducible, is constructed. The construction is purely topological and the desired result is obtained via the known Priestly duality. The notion of an auxiliary regular double p-algebra is introduced and the algebras having this property are characterized.
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- Research Article
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- Copyright © Australian Mathematical Society 1983
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