关于R_0代数的布尔元

On the Boolean Element of Ro-algebra

研究了每一个元都是布尔元的R0代数,用等式刻划了其特征,证明了如下结果:R0代数M的每一个元都是布尔元的充要条件是M为布尔代数。并给出一个反例说明:R0代数的所有布尔元一般不能构成MP滤子。

class of R-algebra was discussed.The following result was proved: every element of RO-algebra M Ts Boolean element iff M is a Boolean algebra. An example was given,it show that all the Boolean element of R-algebra generally can't form MP-filter.