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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
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