关于拓扑BCI-代数

On topological BCI-algebras

目的 为研究拓扑BCI 代数的拓扑子代数、拓扑理想和拓扑同态的概念。试图在代数结构中嵌入拓扑结构。方法 将拓扑方法和代数方法结合起来,在代数结构中引入了拓扑连续概念。结果 得到了拓扑BCI 代数的拓扑子代数、拓扑理想和拓扑同态的一些相关性质。结论 通过理论分析表明在BCI 代数中嵌入拓扑结构是可行的也是有意义的。

AimTo study the notions of topological subalgebras,topological ideals and topological homomorphisms in topological BCI-algebras. MethodsCombine topological methods with algebraic methods, and introduce the notion of continuous mapping in topological structures.ResultsSome related properties of topological subalgebras,topological ideals and topological homomorphisms in topological BCI-algebras are obtained. ConclusionEmbedding topological structure in BCI-algebras is feasible and meaningful by theoretical analysis.