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A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES
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 Title & Authors
A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES
Park, Eunsoon; Kim, Mi-Mi; Chung, Jin-Young;
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 Abstract
There exist two distinct Symmetric differences in a non Boolean orthomodular lattics. Let L be an orthomodular lattice. Then L is a Boolean algebra if and only if one symmetric difference is equal to the other. An orthomodular lattice L is Boolean if and only if one of two symmetric differences of L is associative.
 Keywords
orthomodular lattics;symmetric difference;commutator;Bollean algebra;
 Language
English
 Cited by
1.
Orthocomplemented Posets with a Symmetric Difference, Order, 2009, 26, 1, 1  crossref(new windwow)
2.
On identities in orthocomplemented difference lattices, Mathematica Slovaca, 2010, 60, 5  crossref(new windwow)
3.
States On Orthocomplemented Difference Posets (Extensions), Letters in Mathematical Physics, 2016, 106, 8, 1131  crossref(new windwow)
 References
1.
Orthomodular Lattices, 1985.

2.
Proc. Lattice Theory Conf., 1973. pp.397-408

3.
Order 1, 1985. vol.1. pp.277-284 crossref(new window)

4.
Basic Algebra Ⅰ, 1974.

5.
Orthomodular Lattices, 1983.