Ideal Topological Spaces on Regular Residuated Lattices
Chunhu Liu · Journal of Sichuan Normal University · 2014
In this paper,we study the notion of ⊙-ideals in regular residuated lattices by using the principle and method of topology. Firstly,the concept of a topological space( L,TL) with the set of all ⊙-ideals as its base on an regular residuated lattices L is introduced. Computational formulas of differentiate,closure and interior of set A in( L,TL) are given. Secondly,some topological properties of( L,TL) are discussed. Finally,product topology on product regular residuated lattices is investigated.