Geodesic
Complexity of quasivariety lattices for varieties of unary algebras.~II
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 388-394.

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We show that some minimal $\mathcal{Q}$-universal variety of unary algebras is complicated in the sense of other measures of complexity for lattices of quasivarieties.
Keywords: quasivariety, lattice of quasivariesties, unary algebra, basis of quasi-identities. 
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     author = {A. V. Kravchenko},
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A. V. Kravchenko. Complexity of quasivariety lattices for varieties of unary algebras.~II. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 388-394. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a12/

[1] M. E. Adams, W. Dziobiak, “$\mathcal{Q}$-universal quasivarieties of algebras”, Proc. Amer. Math. Soc., 120 (1994), 1053–1059 | Zbl

[2] V. A. Gorbunov, “Covers in lattices of quasivarieties and independent axiomatizability”, Algebra and Logic, 16 (1977), 340–369 | Zbl

[3] V. A. Gorbunov, Algebraic Theory of Quasivarieties, Plenum, New York, 1998 | Zbl

[4] V. K. Kartashov, “Quasivarieties of unary algebras with a finite number of cycles”, Algebra and Logic, 19 (1980), 106–120

[5] A. V. Kravchenko, “Complexity of lattices of quasivarieties for varieties of unary algebras”, Siberian Adv. Math., 12 (2001), 63–76 | Zbl

[6] A. Nurakunov, “Unreasonable lattices of quasivarieties”, Internat. J. Algebra Comput., 22:3 (2012), 125006 | Zbl

[7] M. V. Sapir, “The lattice of quasivarieties of semigroups”, Algebra Universalis, 21 (1985), 172–180 | Zbl

[8] M. V. Schwidefsky, “Complexity of quasivariety lattices”, Algebra and Logic, 54 (2015), 245–257 | Zbl