ACTA issues

Another construction of complete-simple distributive lattices

G. Grätzer, E. T. Schmidt

Acta Sci. Math. (Szeged) 58:1-4(1993), 115-126
5536/2009

Abstract. It is well known that the only simple distributive lattice is the two-element chain. In an earlier paper, we introduced the concept of a complete-simple lattice, and proved the existence of infinite complete-simple distributive lattices. In this paper we provide a new proof which is easier to visualize.


AMS Subject Classification (1991): 06B10, 06D05

Keyword(s): simple distributive lattice


Received March 9, 1992 and in revised form December 11, 1992. (Registered under 5536/2009.)