A theorm about distributive lattice
Zhu Tian-min · jOURNAL OF southwest University for Nationalities · 2007
This paper studies the multiplicative band semirings whose additive reducts are semilattice. Through studying Green -D relation, it is proved that if S ∈S+ l, S is multiplicative band semirings if and only if S is distributive lattice. Thus the theorem about structure of distributive lattice is obtained.