SOME RESULTS ON DIAGONAL-FREE TWO-DIMENSIONAL CYLINDRIC ALGEBRAS
SOME RESULTS ON DIAGONAL-FREE TWO-DIMENSIONAL CYLINDRIC ALGEBRAS
Author(s): Martin FigalloSubject(s): Philosophy
Published by: Wydawnictwo Uniwersytetu Jagiellońskiego
Keywords: Diagonal–Free Two–Dimensional Cylindric Algebra; Finite Algebras; Lattice Of Subvarieties
Summary/Abstract: 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.
Journal: Reports on Mathematical Logic
- Issue Year: 2011
- Issue No: 46
- Page Range: 3-15
- Page Count: 12
- Language: English