Jaroslav Ježek (2003)
Czechoslovak Mathematical Journal
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We investigate tournaments that are projective in the variety that they generate, and free algebras over partial tournaments in that variety. We prove that the variety determined by three-variable equations of tournaments is not locally finite. We also construct infinitely many finite, pairwise incomparable simple tournaments.
Klaus-Dieter Denecke, Kazimierz Głazek (1996)
Mathematica Slovaca
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Marshall Saade (1979)
Czechoslovak Mathematical Journal
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Henry Francis Joseph Löwig (1968)
Czechoslovak Mathematical Journal
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Yuri Movsisyan, Vahagn Aslanyan (2014)
Open Mathematics
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A De Morgan quasilattice is an algebra satisfying hyperidentities of the variety of De Morgan algebras (lattices). In this paper we give a functional representation of the free n-generated De Morgan quasilattice with two binary and one unary operations. Namely, we define the concept of super-De Morgan function and prove that the free De Morgan quasilattice with two binary and one unary operations on nfree generators is isomorphic to the De Morgan quasilattice of super-De Morgan functions...