Semiprime Minimal Sets of Semicontinuous Lattices and Homomorphic Extensions
Xiaoquan Xu · Mohu xitong yu shuxue · 2012
The concept of semiprime minimal sets is introduced for complete lattices.It is proved that a complete lattice L is semicontinuous if and only if every element a of L has a semiprime minimal set.Two extension theorems of homomorphisms between semicontinuous lattices are obtained.