This is a preview of subscription content, log in via an institution to check access.
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).
Additional information
Dedicated to the birthday of A. I. Mal'tsev.
Translated from Algebra i Logika, Vol. 23, No. 6, pp. 684–701, November–December, 1984.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01979022