On M-Symmetric Lattices
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 85-86
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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.
Padmanabhan, R. On M-Symmetric Lattices. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 85-86. doi: 10.4153/CMB-1974-014-9
@article{10_4153_CMB_1974_014_9,
author = {Padmanabhan, R.},
title = {On {M-Symmetric} {Lattices}},
journal = {Canadian mathematical bulletin},
pages = {85--86},
year = {1974},
volume = {17},
number = {1},
doi = {10.4153/CMB-1974-014-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-014-9/}
}
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