varvec{S}$$-preclones and the Galois connection $$\varvec{{}^{S}{}\textrm{Pol}}$$–$$\varvec{{}^{S}{}\textrm{Inv}}$$, Part I

• Published in: Algebra universalis Vol. 85; no. 3
• Main Authors: Jipsen, Peter, Lehtonen, Erkko, Pöschel, Reinhard
• Format: Journal Article
• Language: English
• Published: 01.08.2024

Abstract We consider S - operations $$f :A^{n} \rightarrow A$$ f : A n → A in which each argument is assigned a signum $$s \in S$$ s ∈ S representing a “property” such as being order-preserving or order-reversing with respect to a fixed partial order on A . The set S of such properties is assumed to...