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On strongly algebraically closed orthomodular lattices. (English) Zbl 1399.06022
Summary: In this article we define the notion of strongly algebraically closed lattices and we prove that if one of two symmetric differences of a $${q'}$$-compact complete orthomodular lattice $$A$$ is associative, then $$A$$ is strongly algebraically closed.
##### MSC:
 06C15 Complemented lattices, orthocomplemented lattices and posets 06C05 Modular lattices, Desarguesian lattices