Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras. In this paper,the relationship between lattice implication algebras and MV algebra was discuss...Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras. In this paper,the relationship between lattice implication algebras and MV algebra was discussed,and then proved that both of the categorys of the two algebras are categorical equivalence. Finally,the infinitely distributivity in lattice implication algebras were proved.展开更多
The aim of this paper is to establish the theory of semitopological systems,which has general topological spaces, fuzzy topological spaces, topological molecular lattices, and topological systems as special cases.
文摘Lattice implication algebras is an algebraic structure which is established by combining lattice and implication algebras. In this paper,the relationship between lattice implication algebras and MV algebra was discussed,and then proved that both of the categorys of the two algebras are categorical equivalence. Finally,the infinitely distributivity in lattice implication algebras were proved.
文摘The aim of this paper is to establish the theory of semitopological systems,which has general topological spaces, fuzzy topological spaces, topological molecular lattices, and topological systems as special cases.
