Finite Diagonal-free Two-dimensional Cylindric Algebras

Logic Journal of the IGPL 12 (6):509-523 (2004)
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Abstract

Some properties of finite diagonal-free two-dimensional cylindric algebras, or Df2-algebras, are studied. In particular, a connection between Df2-algebras and pairs formed by a monadic Boolean algebra and a subalgebra of this algebra is exhibited. Finally, these results are applied to obtain a formula to determine the number of monadic subalgebras of a given monadic Boolean algebra

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