Literature Cited
A. I. Budkin and V. A. Gorbunov, “On the theory of quasivarieties of algebraic systems,” Algebra Logika,14, No. 2, 123–142 (1975).
A. A. Vinogradov, “Quasivarieties of Abelian groups,” Algebra Logika,4, No. 6, 15–19 (1965).
V. A. Gorbunov, “Lattices of quasivarieties,” in: Reports of the Fourteenth All-Union Student Conference, Novosibirsk State University, Novosibirsk (1976).
V. I. Igoshin, “Quasivarieties of lattices,” Mat. Zametki,16, No. 1, 49–56 (1974).
A. I. Mal'tsev, Algebraic Systems [in Russian], Nauka (1970).
A. I. Mal'tsev, “Some borderline problems of algebra and mathematical logic,” in: Proceedings of the International Congress of Mathematicians, Moscow, 1966, Mir (1968), pp. 217–231.
S. Burris and E. Nelson, “Embedding the dual of Πn in the lattice of equational classes of commutative semigroups,” Proc. Am. Math. Soc.,30, No. 1, 37–39 (1971).
B. Davey, W. Poguntke, and I. Rival, “A characterization of semi-distributivity,” Algebra Univer.,5, No. 1, 72–75 (1975).
G. Grätzer, Lattice Theory (First Concepts and Distributive Lattices), W. H. Freeman, San Francisco (1971).
B. Jónsson, “Sublattices of a free lattice,” Canad. J. Math.,13, 256–264 (1961).
B. Jónsson, “Algebras whose congruence lattices are distributive,” Math. Scand.,21, 110–121 (1967).
B. Jónsson and J. Kiefer, “Finite sublattices of a free lattice,” Canad. J. Math.,14, 487–497 (1962).
R. McKenzie, “Equational bases and nonmodular lattice varieties,” Proc. Amer. Math. Soc.,174, 1–43 (1972).
V. Slavik, “Note on subquasivarieties of some varieties of lattices,” Comment. Math. Univ. Carol.,16, No. 1, 173–181 (1975).
A. Shafaat, “Remarks on quasivarieties of algebras,” Arch. Math.,2, No. 9, 67–71 (1973).
A. Shafaat, Notices Am. Math. Soc.,17, No. 2, 425 (1970).
Additional information
Translated from Algebra i Logika, Vol. 15, No. 4, pp. 436–457, July–August, 1976.
Rights and permissions
About this article
Cite this article
Gorbunov, V.A. Lattices of quasivarieties. Algebra and Logic 15, 275–288 (1976). https://doi.org/10.1007/BF01875943
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01875943