Geodesic
Complexity of quasivariety lattices for varieties of differential groupoids
Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 26-39 
A. V. Kravchenko. Complexity of quasivariety lattices for varieties of differential groupoids. Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 26-39. http://geodesic.mathdoc.fr/item/MT_2009_12_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In 1987, Romanowska and Roszkowska found an explicit description of the lattice of varieties of differential groupoids. In 2008, the author proved that the lattice of quasivarieties of differential groupoids is $Q$-universal. In the present article, we find an example of a minimal $Q$-universal variety of differential groupoids.

[1] Kravchenko A. V., “Slozhnost reshetok kvazimnogoobrazii dlya mnogoobrazii unarnykh algebr”, Mat. trudy, 4:2 (2001), 113–127 | MR | Zbl

[2] Kravchenko A. V., “$\mathcal Q$-universalnye kvazimnogoobraziya grafov”, Algebra i logika, 41:3 (2002), 311–325 | MR | Zbl

[3] Kravchenko A. V., “On the lattice of quasivarieties of differential groupoids”, Comment. Math. Univ. Carolin., 49:1 (2008), 11–17 | MR

[4] Romanowska A., Roszkowska B., “On some groupoid modes”, Demonstratio Math., 20:1–2 (1987), 277–290 (1988) | MR | Zbl

[5] Romanowska A. B., Smith J. D. H., Modes, World Scientific Publishing Co., Singapore, 2002 | MR | Zbl