Some results on lattice semi-homomorphism
闵佑林 · 中国科学通报：英文版 · 1996
$ In this letter, we will discuss the connection between meet-and join-homomorphismsof a lattice L to a lattice, obtain a sufficient and necessary condition that a lattice meet-(join-)homomorphism is a join-(meet-) homomorphism (thus a lattice homomorphism), andestablish the fundamental theorem of lattice semi-homomorphism that extends thefundamental theorem of lattice homomorphism.