Geodesic
On M-operators of q-lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 2, pp. 119-129

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It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
Keywords: (complete) q-lattice, closure operator, M-operator 
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Halaš, Radomír. On M-operators of q-lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 2, pp. 119-129. http://geodesic.mathdoc.fr/item/DMGAA_2002_22_2_a1/