Equationally definable implication algebras for orthomodular lattices

Studia Logica 39 (1):5 - 18 (1980)
The fact that it is possible to define three different material conditionals in orthomodular lattices suggests that there exist three different orthomodular logics whose conditionals are material conditionals and whose models are orthomodular lattices. The purpose of this paper is to provide equationally definable implication algebras for each of these material conditionals.
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DOI 10.1007/BF00373094
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G. N. Georgacarakos (1979). Orthomodularity and Relevance. Journal of Philosophical Logic 8 (1):415 - 432.

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