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http://dx.doi.org/10.4134/CKMS.2003.18.2.207

A NOTE ON SYMMETRIC DIFFERENCES OF ORTHOMODULAR LATTICES  

Park, Eunsoon (Department of Mathematics Soongsil University)
Kim, Mi-Mi (Department of Mathematics Soongsil University)
Chung, Jin-Young (Department of Mathematics Soongsil University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.2, 2003 , pp. 207-214 More about this Journal
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;
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