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Stationary Subsets of Functional Menger ∩-Algebras of Multiplace Functions

Wieslaw A. Dudek

Institute of Mathematics and Computer Science, Wroclaw University of Technology, 50-370 Wroclaw, Poland

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and

Valentin S. Trokhimenko

Department of Mathematics, Pedagogical University, 21100 Vinnitsa, Ukraine

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https://doi.org/10.1142/S100538671000009XCited by:0 (Source: Crossref)

Abstract

A functional Menger ∩-algebra is a set of n-place functions containing n projections and closed under the so-called Menger's composition of n-place functions and the set-theoretic intersection of functions. We give the abstract characterization for these subsets of functional Menger ∩-algebras which contain functions with fixed points.

Keywords:

AMSC: primary 20N15, secondary 08A02, secondary 08A62

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