Literature cited
R. Wille, Kongruenzklassengeometrien, Lecture Notes in Math., No. 113, Springer-Verlag, Berlin (1970).
G. Grätzer, General Lattice Theory, Birkhauser, Basel (1978).
R. Freese and J. B. Nation, "Congruence lattices of semilattices," Pac. J. Math.,49, No. 1, 51–58 (1973).
D. Papert, "Congruence relations in semilattices," J. London Math. Soc.,39, No. 156, 723–729 (1964).
B. Jonsson, "Congruence varieties," Algebra Univ.,10, No. 3, 355–394 (1980).
W. Taylor, "Characterizing Mal'cev conditions," Algebra Univ.,3, No. 3, 351–397 (1973).
A. I. Mal'tsev, "On the general theory of algebraic systems," Mat. Sb.,35, No. 1, 3–20 (1954).
D. M. Smirnov, "On the universal definability of Mal'tsev classes," Algebra Logika,21, No. 6, 721–738 (1982).
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Dedicated to the birthday of A. I. Mal'tsev.
Translated from Algebra i Logika, Vol. 23, No. 6, pp. 684–701, November–December, 1984.
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Smirnov, D.M., Reibol'd, A.V. Lattices of congruence classes of algebras. Algebra and Logic 23, 459–471 (1984). https://doi.org/10.1007/BF01979022
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DOI: https://doi.org/10.1007/BF01979022