Some Results on Diagonal-free Two-dimensional Cylindric Allgebras

Martín Figallo


Formulas for computing the number of Df2-algebra structures that can be defined over Bn, where Bn is the Boolean algebra with n atoms, as well as the fine spectrum of Df2 are obtained. Properties of the lattice of all subvarieties of Df2, (Df 2), are exhibited. In particular, the poset Sifin(Df2) is described.

Słowa kluczowe: diagonal–free two–dimensional cylindric algebra, finite algebras, lattice of subvarieties
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