Molkhasi, A. On strongly algebraically closed orthomodular lattices. (English) Zbl 1399.06022 Southeast Asian Bull. Math. 42, No. 1, 83-88 (2018). 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 Keywords:existentially and algebraically closed lattices; strongly algebraically closed lattices; equationally Noetherian lattice; complete orthomodular lattices PDF BibTeX XML Cite \textit{A. Molkhasi}, Southeast Asian Bull. Math. 42, No. 1, 83--88 (2018; Zbl 1399.06022)