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
@article{DMGAA_2002_22_2_a1,
author = {Hala\v{s}, Radom{\'\i}r},
title = {On {M-operators} of q-lattices},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {119--129},
year = {2002},
volume = {22},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2002_22_2_a1/}
}
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/
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