On forbidden configuration of pseudomodular lattices
Manoj Dhake, Sachin Ballal, Vilas Kharat, Rupesh S. Shewale (2025)
Mathematica Bohemica
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We characterize the pseudomodular lattices by means of a forbidden configuration.
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Displaying similar documents to “The strongly perfect lattices of dimension ”
On forbidden configuration of pseudomodular lattices
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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.
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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. ...
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