Swamy, U. M.; Murty, A. V. S. N. Prime Galois connections. (English) Zbl 1240.06013 Southeast Asian Bull. Math. 34, No. 3, 497-508 (2010). Summary: It is known that the set \({\mathcal G}(P,Q)\) of Galois connections of a complete Heyting algebra \(P\) into an algebraic lattice \(Q\) forms a complete lattice. Here we introduce binary operations on \({\mathcal G}(P,Q)\) corresponding to those on \(Q\) as their natural extensions and discuss certain important properties of them. In particular, the prime, minimal and maximal elements of \({\mathcal G}(P,Q)\) are characterized in terms of those in \(Q\). MSC: 06A15 Galois correspondences, closure operators (in relation to ordered sets) 06B23 Complete lattices, completions Keywords:Galois connections; complete lattice; isotone binary operation; miximal elements PDFBibTeX XMLCite \textit{U. M. Swamy} and \textit{A. V. S. N. Murty}, Southeast Asian Bull. Math. 34, No. 3, 497--508 (2010; Zbl 1240.06013)