Geodesic
On quasi-equational bases for differential groupoids and unary algebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1330-1337

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As is known, there exist $2^\omega$ quasivarieties of differential groupoids and unary algebras with no independent quasi-equational basis. In the present article, we show that there exist $2^\omega$ such quasivarieties with an $\omega$-independent quasi-equational basis. We also find a recursive independent quasi-equational basis for the intersection of those quasivarieties.
Keywords: quasivariety, quasi-equational basis, differential groupoid, unary algebra. 
@article{SEMR_2017_14_a40,
     author = {A. V. Kravchenko and A. M. Nurakunov and M. V. Schwidefsky},
     title = {On quasi-equational bases for differential groupoids and unary algebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1330--1337},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a40/}
}
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A. V. Kravchenko; A. M. Nurakunov; M. V. Schwidefsky. On quasi-equational bases for differential groupoids and unary algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1330-1337. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a40/