Complements in modular and semimodular lattices.
Bordalo, G.H., Rodrigues, E. (1998)
Portugaliae Mathematica
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Displaying similar documents to “On complemented strong lattices”
Complements in modular and semimodular lattices.
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Semimodularity in lower continuous strongly dually atomic lattices
Andrzej Walendziak (1996)
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For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].
On M-operators of q-lattices
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.