A duality for isotropic median algebras
Commentationes Mathematicae Universitatis Carolinae (1992)
- Volume: 33, Issue: 3, page 541-550
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topPloščica, Miroslav. "A duality for isotropic median algebras." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 541-550. <http://eudml.org/doc/247372>.
@article{Ploščica1992,
abstract = {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.},
author = {Ploščica, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {median algebra; duality; categorical duality; varieties; explicit representations of the dual category; topological relational algebras; isotropic median algebras; free isotropic median algebra},
language = {eng},
number = {3},
pages = {541-550},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A duality for isotropic median algebras},
url = {http://eudml.org/doc/247372},
volume = {33},
year = {1992},
}
TY - JOUR
AU - Ploščica, Miroslav
TI - A duality for isotropic median algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 3
SP - 541
EP - 550
AB - 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.
LA - eng
KW - median algebra; duality; categorical duality; varieties; explicit representations of the dual category; topological relational algebras; isotropic median algebras; free isotropic median algebra
UR - http://eudml.org/doc/247372
ER -
References
top- Bandelt H.J., Hedlíková J., Median algebras, Discrete Math. 45 1-30 (1983). (1983) MR0700848
- 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. Zbl0532.08003MR0724265
- Draškovičová H., Varieties of modular median algebras, Contributions to General Algebra 7 Holder-Pichler-Tempsky Wien (1991), 119-125. (1991) MR1143073
- Fried E., Pixley A.F., The dual discriminator function in universal algebra, Acta Sci. Math. (Szeged) 41 (1979), 83-100. (1979) Zbl0395.08001MR0534502
- Isbell J.R., Median algebra, Trans. Amer. Math. Soc. 260 (1980), 319-362. (1980) Zbl0446.06007MR0574784
- 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. Zbl0477.06004MR0648644
- Werner H., A duality for the lattice variety generated by , Coll. Math. Soc. János Bolyai 43 (Lectures in universal algebra), North-Holland, 1986, pp. 561-572. MR0860283
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.