$ 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-) ho...$ 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.展开更多
In this letter, we establish two simple and easy criterions of lattice isomorphism and discuss the relations between the homomorphism and the partial order preserving map for lattices or semilattices.
基金Project supported by the National Natural Science Foundation of China.
文摘$ 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.
文摘In this letter, we establish two simple and easy criterions of lattice isomorphism and discuss the relations between the homomorphism and the partial order preserving map for lattices or semilattices.
