On the lattices of quasivarieties of differential groupoids
Commentationes Mathematicae Universitatis Carolinae (2008)
- Volume: 49, Issue: 1, page 11-17
- ISSN: 0010-2628
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topKravchenko, Aleksandr. "On the lattices of quasivarieties of differential groupoids." Commentationes Mathematicae Universitatis Carolinae 49.1 (2008): 11-17. <http://eudml.org/doc/250492>.
@article{Kravchenko2008,
abstract = {The main result of Romanowska A., Roszkowska B., On some groupoid modes, Demonstratio Math. 20 (1987), no. 1–2, 277–290, provides us with an explicit description of the lattice of varieties of differential groupoids. In the present article, we show that this variety is $\mathcal \{Q\}$-universal, which means that there is no convenient explicit description for the lattice of quasivarieties of differential groupoids. We also find an example of a subvariety of differential groupoids with a finite number of subquasivarieties.},
author = {Kravchenko, Aleksandr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {mode; differential groupoid; lattice of subquasivarieties; $\mathcal \{Q\}$-universal quasivariety; mode; differential groupoid; lattice of subquasivarieties; -universal quasivariety},
language = {eng},
number = {1},
pages = {11-17},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the lattices of quasivarieties of differential groupoids},
url = {http://eudml.org/doc/250492},
volume = {49},
year = {2008},
}
TY - JOUR
AU - Kravchenko, Aleksandr
TI - On the lattices of quasivarieties of differential groupoids
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 1
SP - 11
EP - 17
AB - The main result of Romanowska A., Roszkowska B., On some groupoid modes, Demonstratio Math. 20 (1987), no. 1–2, 277–290, provides us with an explicit description of the lattice of varieties of differential groupoids. In the present article, we show that this variety is $\mathcal {Q}$-universal, which means that there is no convenient explicit description for the lattice of quasivarieties of differential groupoids. We also find an example of a subvariety of differential groupoids with a finite number of subquasivarieties.
LA - eng
KW - mode; differential groupoid; lattice of subquasivarieties; $\mathcal {Q}$-universal quasivariety; mode; differential groupoid; lattice of subquasivarieties; -universal quasivariety
UR - http://eudml.org/doc/250492
ER -
References
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