Chajda, I.; Halaš, R. An example of a congruence distributive variety having no near-unanimity term. (English) Zbl 1132.08002 Acta Univ. M. Belii, Ser. Math. 13, 29-31 (2006). Summary: A nearlattice is a join-semilattice every principal filter of which is a lattice with respect to the induced order. Every nearlattice can be described as an algebra with one ternary operation satisfying eight simple identities. This algebra is called a nearlattice-algebra. Hence, nearlattice-algebras form a variety \({\mathcal N}\). We show that the variety \({\mathcal N}\) is congruence distributive but \({\mathcal N}\) has no near-unanimity term. Cited in 9 Documents MSC: 08B10 Congruence modularity, congruence distributivity 06A12 Semilattices 08A62 Finitary algebras Keywords:congruence distributivity; nearlattice-algebra; near-unanimity term PDFBibTeX XMLCite \textit{I. Chajda} and \textit{R. Halaš}, Acta Univ. M. Belii, Ser. Math. 13, 29--31 (2006; Zbl 1132.08002)