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On M-Symmetric Lattices
Published online by Cambridge University Press: 20 November 2018
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Every ⊥-symmetric relatively semi-orthocomplemented lattice is M-symmetric. This answers the Problem 1 in [2] in the affirmative and provides a new proof to a result on ⊥-symmetric lattices proved in [2] (Corollary below). The notation and terminology are as in [2].
Let 〈L; ⋀, V〉 be a lattice. Two elements a and b of L are said to form a modular pair, in symbols aMb, if
The relation aM✶b is defined dually.
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- Copyright © Canadian Mathematical Society 1974
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