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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1051,
author = {Radom\'\i r Hala\v s},
title = {On M-operators of q-lattices},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {22},
year = {2002},
pages = {119-129},
zbl = {1036.06004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1051}
}
Radomír Halaš. On M-operators of q-lattices. Discussiones Mathematicae - General Algebra and Applications, Tome 22 (2002) pp. 119-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1051/
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