A note on orthomodular lattices
Foulis, David J. (1962)
Portugaliae mathematica
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Foulis, David J. (1962)
Portugaliae mathematica
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Morgado, José (1962)
Portugaliae mathematica
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Janowitz, M.F. (1965)
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Henry H. Crapo (1967)
Rendiconti del Seminario Matematico della Università di Padova
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Matveev, Andrey O. (2002)
International Journal of Mathematics and Mathematical Sciences
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Walendziak, Andrzej (1994)
Portugaliae Mathematica
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Ivan Chajda, Helmut Länger (2017)
Topological Algebra and its Applications
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We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness. Moreover, we show that every positive right residuated lattice satisfying the double negation law and two further simple identities can be converted into an orthomodular lattice. In this case, also the converse statement is true and the corresponence is nearly one-to-one. ...
Václav Slavík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Carstens, Allan M. (1973)
Portugaliae mathematica
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