Geodesic
Pseudocomplemented directoids
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 4, pp. 533-539.

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Directoids as a generalization of semilattices were introduced by J. Je\v{z}ek and R. Quackenbush in 1990. We modify the concept of a pseudocomplement for commutative directoids and study several basic properties: the Glivenko equivalence, the set of the so-called boolean elements and an axiomatization of these algebras.
Classification : 06A12, 06A99, 06C15, 06D15
Keywords: commutative directoid; $\lambda$-lattice; pseudocomplement; boolean elements 
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Chajda, Ivan. Pseudocomplemented directoids. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 4, pp. 533-539. http://geodesic.mathdoc.fr/item/CMUC_2008__49_4_a1/