Comments on a question of Wolniewicz
Jacek Hawranek, Jan Zygmunt · 1990
In the preceding issue of this Bulletin (vol. 19, no 3, p. 108) Professor Wolniewicz posed the following question about join-semilattices L with unit: “Under what properties of L – short of all its maximal ideal being finite – does an antichain MinV (A) always contain a minimal subchain B such that r(B) = r(MinV (A))?” The very formulation of the question indicates that Wolniewicz knows the following answer which we write down as