On the large proper sublattices of finite lattices.
Zhang, Kunlun, Song, Lixia, Sun, Yikang (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Zhang, Kunlun, Song, Lixia, Sun, Yikang (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Portugaliae mathematica
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Commentationes Mathematicae Universitatis Carolinae
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Czechoslovak Mathematical Journal
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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.