|
This article is cited in 10 scientific papers (total in 10 papers)
Mathematical logic, algebra and number theory
On quasi-equational bases for differential groupoids and unary algebras
A. V. Kravchenkoabc, A. M. Nurakunovd, M. V. Schwidefskyca a Novosibirsk State University,
ul. Pirogova, 1,
630090, Novosibirsk, Russia
b Siberian Institute of Management,
ul. Nizhegorodskaya, 6,
630102, Novosibirsk, Russia
c Sobolev Institute of Mathematics,
pr. Koptyuga, 4,
630090, Novosibirsk, Russia
d Institute of Mathematics NAS RK,
pr. Chui 265 a,
720071, Bishkek, Kyrgyzstan
Abstract:
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.
Citation:
A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “On quasi-equational bases for differential groupoids and unary algebras”, Sib. Èlektron. Mat. Izv., 14 (2017), 1330–1337
Linking options:
https://www.mathnet.ru/eng/semr874 https://www.mathnet.ru/eng/semr/v14/p1330
|
Statistics & downloads: |
Abstract page: | 267 | Full-text PDF : | 44 | References: | 34 |
|