Abstract: Introduce the concept of filter and quotient algebra of UB algebras，further basic properties are investigaled：Theorem A nonempty set F of M be a filter if and only if x→y，y→z∈F，则x→z∈F；and F be a implicative filter of M；if and only if F be filter and y→（y→x）∈F implies y→x∈F；if and only if F be filter and z→（y→（y→x））∈F，z∈F implies y→x∈F；if and only if z→（y→x）∈M implies（z→y）→（z→x）∈F；if and only if z∈F and z→（（x→y）→x）∈F implies x∈F；if and only if F be filter and （x→y）→x∈F implies x∈F；etc.

Key words: universal logic, UB-algebras, fuzzy logic, filter, quotient algebra

摘要： 给出了理想状态下泛逻辑学的形式演绎系统，证明了此系统是可靠的。提出了在理想状态（h=k=0.5）下泛逻辑学对应的代数系统-UB代数，进一步讨论了UB代数滤子与商代数，得到一些有用的结果。

关键词: 泛逻辑学, UB代数系统, 模糊逻辑, 滤子, 商代数