Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation

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Logic Journal of the IGPL (forthcoming)
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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.

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10.1093/jigpal/jzae076

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References found in this work

Distributive Lattices.Raymond Balbes & Philip Dwinger - 1977 - Journal of Symbolic Logic 42 (4):587-588.
Lattice Theory.Garrett Birkhoff - 1950 - Journal of Symbolic Logic 15 (1):59-60.

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