Equational theory of continuous lattices.
A. Möbus (1991)
Semigroup forum
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A. Möbus (1991)
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J. Leech (1986-1987)
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J. Leech (1996)
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V.B. Repnitskii (1995)
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K.H. Hofmann, J.D. Lawson (1976/77)
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J. Leech (1992)
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Hua Mao (2017)
Open Mathematics
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We characterize complete atomistic lattices whose classification lattices are geometric. This implies an proper solution to a problem raised by S. Radeleczki in 2002.
M. E. Adams (1974)
Colloquium Mathematicae
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V.B. Repnitskiï (1993)
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Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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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.
R. Beazer (1974)
Colloquium Mathematicae
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