Some Results on Diagonal-free Two-dimensional Cylindric Allgebras
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RIS BIB ENDNOTESome Results on Diagonal-free Two-dimensional Cylindric Allgebras
Publication date: 15.12.2011
Reports on Mathematical Logic, 2011, Number 46, pp. 3-15
https://doi.org/10.4467/20842589RM.11.001.0279Authors
Some Results on Diagonal-free Two-dimensional Cylindric Allgebras
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.
[1] N. Bezhanishvili, Varieties of two-dimensional cylindric algebras. Part I: Diagonalfree case, Algebra Universalis, 48, 1 (2002), pp. 11–42.
[2] B. Davey, On the lattice of subvarieties. Houston J. Math. 5(1979), pp. 183 – 192.
[3] M. Figallo, Finite diagonal–free two–dimensional cylindric algebras, Log. J. IGPL. 12, 6 (2004), pp. 509–523.
[4] M. Figallo, Una Contribucio´n sobre las ´algebras cil´ındricas libres de elementos diagonales de dimensio´n dos, Ms. Dissertation. Universidad Nacional del Sur, 2005.
[5] L. Henkin, D. Monk and A. Tarski, Cylindric Algebras, Parts I & II, North-Holland, 1971 & 1985.
[6] B. J´onsson, Algebras whose congruence lattices are distributive, Math. Scand., 21 (1967), pp. 110–121.
[7] L. Monteiro, M. Abad, S. Savini, J. Sewald and M. Zander, Subalgebras of a finite monadic Boolean Algebra, Reports on Mathematical Logic, 40 (2006), pp. 199–206.
[8] W. Taylor, The fine spectrum of a variety. Algebra Universalis 5 no. 2 (1975), pp. 263–303.
Information: Reports on Mathematical Logic, 2011, Number 46, pp. 3-15
Article type: Original article
The National University of South, Bahía Blanca, Provincia de Buenos Aires, República Argentina
Published at: 15.12.2011
Article status: Open
Licence: None
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