Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation

GIUNTINI ROBERTO;LEDDA ANTONIO

;VERGOTTINI GANDOLFO

2025-01-01

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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.