On midpoints in lattices
Ladislav Beran · Czech digital mathematics library · 1995
This paper introduces the notion of a midpoint in a lattice L having the zero element and the notion of a centred ideal in L. It is shown that the study of centred ideals in sectionally complemented lattices is facilitated by a congruence 0(1).The congruence 0(1) is compared with some other known congruences.A complete characterization of centred ideals in such lattices is given.