MATHEMATICA BOHEMICA, Vol. 130, No. 1, pp. 107-110, 2005

Compact elements in the lattice of varieties

J. Jezek, V. Slavik

Jaroslav Jezek, MFF UK, Sokolovska 83, 186 75 Praha 8, e-mail:; Vaclav Slavik, Czech Agricultural University, Kamycka 129, 165 21 Praha 6, e-mail:

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

Keywords: variety, lattice, compact element

Classification (MSC 2000): 08B15

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