1-distributive lattice with pm-property
A lattice is said to be 1-distributive if it possesses a top element and each maximal ideal in it is prime. It is proved that the Stone space of a 1-distributive lattice \(L\) is normal if and only if each prime ideal in \(L\) is contained in a unique maximal ideal.
scientific article; zbMATH DE number 1599364