Direct decompositions of Ockham algebras

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Abstract

We determine necessary and sufficient conditions under which an Ockham algebra (L, f) is isomorphic to a direct product of directly indecomposable Ockham algebras. Such a decomposition is completely determined by the set of atoms of the boolean subalgebra of L that consists of those x ∈ L for which f(x) is the complement of x.

Original languageEnglish
Pages (from-to)239-248
Number of pages10
JournalAlgebra Colloquium
Volume11
Issue number2
Publication statusPublished - Jun 2004

Keywords

  • Directly indecomposable
  • Ockham algebra

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