How many four-generated simple lattices
Ivan Rival, Bill Sands (1982)
Banach Center Publications
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Ivan Rival, Bill Sands (1982)
Banach Center Publications
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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.
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.
Václav Slavík (1980)
Commentationes Mathematicae Universitatis Carolinae
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Ladislav Beran (1975)
Acta Universitatis Carolinae. Mathematica et Physica
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Josef Dalík (1982)
Archivum Mathematicum
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Adam Grabowski (2015)
Formalized Mathematics
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The article continues the formalization of the lattice theory (as structures with two binary operations, not in terms of ordering relations). In the paper, the notion of a pseudocomplement in a lattice is formally introduced in Mizar, and based on this we define the notion of the skeleton and the set of dense elements in a pseudocomplemented lattice, giving the meet-decomposition of arbitrary element of a lattice as the infimum of two elements: one belonging to the skeleton, and the...
Zhang, Kunlun, Song, Lixia, Sun, Yikang (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Büchi, J. Richard (1952)
Portugaliae mathematica
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