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Mathematical logic, algebra and number theory
The complexity of quasivariety lattices. II
M. V. Schwidefsky Novosibirsk State University, Pirogova str. 1, 630090, Novosibirsk, Russia
Abstract:
We prove that if a quasivariety K contains a finite B∗-class relative to some subquasivariety and some variety possessing some additional property, then K contains continuum many Q-universal non-profinite subquasivarieties having an independent quasi-equational basis as well as continuum many Q-universal non-profinite subquasivarieties having no such basis.
Keywords:
inverse limit, quasi-equational basis, quasivariety, profinite structure, profinite quasivariety.
Received March 20, 2022, published July 18, 2023
Citation:
M. V. Schwidefsky, “The complexity of quasivariety lattices. II”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 501–513
Linking options:
https://www.mathnet.ru/eng/semr1594 https://www.mathnet.ru/eng/semr/v20/i1/p501
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Abstract page: | 84 | Full-text PDF : | 31 | References: | 24 |
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