On the theory of Baer lattices
M. Stem (1982)
Banach Center Publications
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M. Stem (1982)
Banach Center Publications
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Hartung, G., Kamara, M., Săcărea, C. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Büchi, J. Richard (1952)
Portugaliae mathematica
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Ivan Rival, Bill Sands (1982)
Banach Center Publications
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Václav Slavík (1980)
Commentationes Mathematicae Universitatis Carolinae
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Gül Deniz Çayli (2023)
Kybernetika
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Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms. ...
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...