Symmetric extended Ockham algebras

Thomas Scott Blyth, J Fang

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The variety eO of extended Ockham algebras consists of those algebras (L; boolean AND, boolean OR, f, k, 0, 1) of type (2, 2, 1, 1, 0, 0), where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra with an additional endomorphism k such that the unary operations f and k commute. Here, we consider the eO-algebras which have a property of symmetry. We show that there are thirty two non-isomorphic subdirectly irreducible symmetric extended MS-algebras and give a complete description of them.

Original languageEnglish
Pages (from-to)479-489
Number of pages11
JournalAlgebra Colloquium
Publication statusPublished - Dec 2003


  • extended Ockham algebra
  • de Morgan algebra
  • MS-algebra
  • subdirectly irreducible algebra


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