Abstract:
There are continuum many quasivarieties of Cantor algebras having an ω-independent quasiequational basis but no independent quasiequational basis whose intersection does have an independent quasiequational basis.
Keywords:
quasi-identity, quasivariety, Cantor algebra, independent basis.
The first author was supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant AP05132349). The second author was supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-6848.2016.1).
Citation:
A. O. Basheyeva, M. V. Schwidefsky, “Quasiequational bases of Cantor algebras”, Sibirsk. Mat. Zh., 59:3 (2018), 481–490; Siberian Math. J., 59:3 (2018), 375–382