$ 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
This paper deals with the study of the special lattices of rough algebras. We discussed the basic properties such as the rough distributive lattice;the rough modular lattice and the rough semi-modular lattice etc., so...This paper deals with the study of the special lattices of rough algebras. We discussed the basic properties such as the rough distributive lattice;the rough modular lattice and the rough semi-modular lattice etc., some results of lattice are generalized in this paper. The modular lattice of rough algebraic structure can provide academic base and proofs to analyze the coverage question and the reduction question in information system.展开更多
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This paper deals with the study of the special lattices of rough algebras. We discussed the basic properties such as the rough distributive lattice;the rough modular lattice and the rough semi-modular lattice etc., some results of lattice are generalized in this paper. The modular lattice of rough algebraic structure can provide academic base and proofs to analyze the coverage question and the reduction question in information system.
