This paper essentially originates from the notion of a block in an orthomodular lattice. What happens to orthomodularity when orthocomplementation is weakened? We will show that, under definitely smooth conditions, a great deal of the theory of orthomodular lattices carries over naturally.
Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation
GIUNTINI ROBERTO;LEDDA ANTONIO
;VERGOTTINI GANDOLFO
2025-01-01
Abstract
This paper essentially originates from the notion of a block in an orthomodular lattice. What happens to orthomodularity when orthocomplementation is weakened? We will show that, under definitely smooth conditions, a great deal of the theory of orthomodular lattices carries over naturally.
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