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Displaying similar documents to “Sheffer operation in ortholattices”

A groupoid characterization of orthomodular lattices

Ivan Chajda (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We prove that an orthomodular lattice can be considered as a groupoid with a distinguished element satisfying simple identities.

A binary operation-based representation of a lattice

Mourad Yettou, Abdelaziz Amroune, Lemnaouar Zedam (2019)

Kybernetika

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In this paper, we study and characterize some properties of a given binary operation on a lattice. More specifically, we show necessary and sufficient conditions under which a binary operation on a lattice coincides with its meet (resp. its join) operation. Importantly, we construct two new posets based on a given binary operation on a lattice and investigate some cases that these two posets have a lattice structure. Moreover, we provide some representations of a given lattice based...