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Kartashov, V. K.

Lattices of quasivarieties of unars. (English) Zbl 0584.08005

Sib. Math. J. 26, 346-357 (1985).
Translation from Sib. Mat. Zh. 26, No.3(151), 49-62 (Russian) (1985; Zbl 0569.08005).

Cited in 4 Documents

MSC:

08C15 Quasivarieties
08B15 Lattices of varieties
08A60 Unary algebras
06B15 Representation theory of lattices

Keywords:

quasivarieties of unars; lattice of quasivarieties; monogenic unars; Q- critical unars

Citations:

Zbl 0429.08004; Zbl 0462.08003; Zbl 0569.08005
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Full Text: DOI

References:

[1] V. K. Kartashov, ?Quasivarieties of unars,? Mat. Zametki,27, No. 1, 7-20 (1980).
[2] V. K. Kartashov, ?Quasivarieties of unars with finitely many cycles,? Algebra Logika,19, No. 2, 178-193 (1980).
[3] V. A. Gorbunov, ?Coverings in lattices of quasivarieties and independent axiomatizability,? Algebra Logika,16, No. 5, 507-548 (1977).
[4] P. Crawley and R. P. Dilworth, Algebraic Theory of Lattices, Prentice-Hall (1973). · Zbl 0494.06001
[5] A. N. Budkin and V. A. Gorbunov, ?To the theory of quasivarieties of algebraic systems,? Algebra Logika,14, No. 2, 123-142 (1975). · Zbl 0317.08003
[6] B. Jónsson, ?Sublattices of free lattice,? Can. J. Math.,13, 256-264 (1961). · Zbl 0132.26201 · doi:10.4153/CJM-1961-021-0
[7] V. A. Gorbunov, ?On lattices of quasivarieties,? Algebra Logika,15, No. 4, 438-457 (1976). · Zbl 0359.06014
[8] G. Grätzer, Lattice Theory (First Concepts and Distributive Lattices), W. H. Freeman, San Francisco (1971).
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