Previous |  Up |  Next


Title: A duality for isotropic median algebras (English)
Author: Ploščica, Miroslav
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 33
Issue: 3
Year: 1992
Pages: 541-550
Category: math
Summary: We establish categorical dualities between varieties of isotropic median algebras and suitable categories of operational and relational topological structures. We follow a general duality theory of B.A. Davey and H. Werner. The duality results are used to describe free isotropic median algebras. If the number of free generators is less than five, the description is detailed. (English)
Keyword: median algebra
Keyword: duality
MSC: 06B99
MSC: 06C05
MSC: 06E15
MSC: 08B20
MSC: 18A40
idZBL: Zbl 0766.08006
idMR: MR1209295
Date available: 2009-01-08T17:58:02Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Bandelt H.J., Hedlíková J.: Median algebras.Discrete Math. 45 1-30 (1983). MR 0700848
Reference: [2] Davey B.A., Werner H.: Dualities and equivalences for varieties of algebras.Coll. Math. Soc. János Bolyai 33 (Contributions to lattice theory), North-Holland, 1983,pp. 101-276. Zbl 0532.08003, MR 0724265
Reference: [3] Draškovičová H.: Varieties of modular median algebras.Contributions to General Algebra 7 Holder-Pichler-Tempsky Wien (1991), 119-125. MR 1143073
Reference: [4] Fried E., Pixley A.F.: The dual discriminator function in universal algebra.Acta Sci. Math. (Szeged) 41 (1979), 83-100. Zbl 0395.08001, MR 0534502
Reference: [5] Isbell J.R.: Median algebra.Trans. Amer. Math. Soc. 260 (1980), 319-362. Zbl 0446.06007, MR 0574784
Reference: [6] Werner H.: A duality for weakly associative lattices.Coll. Math. Soc. János Bolyai 28 (Finite algebra and multiple-valued logic), North-Holland, 1982, pp. 781-808. Zbl 0477.06004, MR 0648644
Reference: [7] Werner H.: A duality for the lattice variety generated by $M_3$.Coll. Math. Soc. János Bolyai 43 (Lectures in universal algebra), North-Holland, 1986, pp. 561-572. MR 0860283


Files Size Format View
CommentatMathUnivCarolRetro_33-1992-3_16.pdf 323.8Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo