Lattices of congruence classes of algebras. (English) Zbl 0576.08004
Translation from Algebra Logika 23, No.6, 684-701 (Russian) (1984; Zbl 0567.08002).
MSC:
| 08A30 | Subalgebras, congruence relations |
| 08B05 | Equational logic, Mal’tsev conditions |
| 06B15 | Representation theory of lattices |
Citations:
Zbl 0567.08002References:
| [1] | R. Wille, Kongruenzklassengeometrien, Lecture Notes in Math., No. 113, Springer-Verlag, Berlin (1970). |
| [2] | G. Grätzer, General Lattice Theory, Birkhauser, Basel (1978). · Zbl 0436.06001 |
| [3] | R. Freese and J. B. Nation, ”Congruence lattices of semilattices,” Pac. J. Math.,49, No. 1, 51–58 (1973). · Zbl 0287.06002 |
| [4] | D. Papert, ”Congruence relations in semilattices,” J. London Math. Soc.,39, No. 156, 723–729 (1964). · Zbl 0126.03802 · doi:10.1112/jlms/s1-39.1.723 |
| [5] | B. Jonsson, ”Congruence varieties,” Algebra Univ.,10, No. 3, 355–394 (1980). · Zbl 0438.08003 · doi:10.1007/BF02482916 |
| [6] | W. Taylor, ”Characterizing Mal’cev conditions,” Algebra Univ.,3, No. 3, 351–397 (1973). · Zbl 0304.08003 · doi:10.1007/BF02945141 |
| [7] | A. I. Mal’tsev, ”On the general theory of algebraic systems,” Mat. Sb.,35, No. 1, 3–20 (1954). |
| [8] | D. M. Smirnov, ”On the universal definability of Mal’tsev classes,” Algebra Logika,21, No. 6, 721–738 (1982). |
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