Classes of algebras that are not closed under completions

Khaled M. K. M. I., Ahmed T. S.

Bulletin of the Section of Logic, cilt.38, sa.1-2, ss.29-43, 2009 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 1-2
  • Basım Tarihi: 2009
  • Dergi Adı: Bulletin of the Section of Logic
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.29-43
  • İstanbul Medipol Üniversitesi Adresli: Hayır

Özet

We show that for several algebras studied in algebraic logic, the class of representable algebras of finite dimension > 2 is not closed under completions. We prove an analogous result for many varieties that approximate the class of representable algebras. Our result applies to diagonal free cylindric algebras and polyadic algebras and all subreducts of polyadic algebras in between.