On the Concept of a Screen
Ulrich W. Kulisch · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1973
Abstract In a former paper [2] we have defined the concept of a screen. The basic set in this definition was assumed to be an ordered set. In most applications, however, the basic set is not only an ordered set but a complete lattice. Under this assumption we show in this paper that the concept of a screen is equivalent to the concept of a certain sublattice. Using this relation further necessary and sufficient conditions for a screen can be derived from lattice theory. Similar relations hold for a lower and an upper screen.