Compact elements in the lattice of varieties

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Article

Compact elements in the lattice of varieties. (English). Mathematica Bohemica, vol. 130 (2005), issue 1, pp. 107-110

Keywords:
variety; lattice; compact element

Summary:
We prove that the lattice of varieties contains almost no compact elements.

References:

[1] J. Ježek: The lattice of equational theories. Czechoslovak Math. J. 31 (1981), 127–152; 573–603. MR 0604120

[2] W. Lampe: A property of the lattice of equational theories. Algebra Universalis 23 (1986), 61–69. DOI 10.1007/BF01190912 | MR 0873596 | Zbl 0604.08003

[3] W. Lampe: Further properties of lattices of equational theories. Algebra Universalis 28 (1991), 459–486. DOI 10.1007/BF01195857 | MR 1128384 | Zbl 0756.08006

[4] R. McKenzie, G. McNulty, W. Taylor: Algebras, Lattices, Varieties, Vol. I. Wadsworth & Brooks/Cole, Monterey, CA, 1987. MR 0883644

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