Bednařík, František; Šlapal, Josef Exponentiation of relational systems with respect to strong homomorphisms. (English) Zbl 0929.08001 Math. Pannonica 10, No. 2, 169-175 (1999). Summary: For any pair of \(n\)-ary relational systems \(G\), \(H\) we consider a certain power, i.e., an \(n\)-ary relational system carried by the set of all homomorphisms of \(H\) into \(G\). The subsystem of the power carried by the set of all strong homomorphisms of \(H\) into \(G\) is then taken as the power of \(G\) and \(H\) with respect to strong homomorphisms. The obtained binary operation of exponentiation of \(n\)-ary relational systems with respect to strong homomorphisms is studied and the results are applied to partial algebras. Cited in 1 Document MSC: 08A02 Relational systems, laws of composition 08A55 Partial algebras Keywords:\(n\)-ary relational system; strong homomorphism; power; antitransitivity; \(n\)-ary partial algebra PDFBibTeX XMLCite \textit{F. Bednařík} and \textit{J. Šlapal}, Math. Pannonica 10, No. 2, 169--175 (1999; Zbl 0929.08001)