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Keywords:
commutative directoid; $\lambda$-lattice; pseudocomplement; boolean elements
commutative directoid; $\lambda$-lattice; pseudocomplement; boolean elements
Summary:
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.
References:
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[5] Snášel V.: $\lambda$-lattices. Math. Bohem. 122 (1997), 267-272. MR 1600648
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