Geodesic
On distributive trices
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 21-29

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A triple-semilattice is an algebra with three binary operations, which is a semilattice in respect of each of them. A trice is a triple-semilattice, satisfying so called roundabout absorption laws. In this paper we investigate distributive trices. We prove that the only subdirectly irreducible distributive trices are the trivial one and a two element one. We also discuss finitely generated free distributive trices and prove that a free distributive trice with two generators has 18 elements.
Keywords: triple semilattice, trice, distributive trice 
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Horiuchi, Kiyomitsu; Tepavčević, Andreja. On distributive trices. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 21-29. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a2/