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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.
States On Orthocomplemented Difference Posets (Extensions), Letters in Mathematical Physics, 2016, 106, 8, 1131  crossref(new windwow)
3.
On identities in orthocomplemented difference lattices, Mathematica Slovaca, 2010, 60, 5  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.