摘要
从环的等价定义出发 ,利用级数收敛性及分解性定理证明了R 是环 ,而且是完备的σ 环。进而重新论证了测度扩张性定理的存在性、唯一性及完备性。避免了教材中原证明的复杂过程 。
Baseol on the definition of equcel value,we prove that R\+* is not only ring,but also pefect σ ring by using progression covergence and .resolution theorem.We redemonstrate further the sole existence and peffection of expansive theorem in measure theory.The redemonstration avoids the complex process of original demonstration in the teaching books,so readers can understandit more easily.\;
出处
《兵团教育学院学报》
2001年第4期35-37,共3页
Journal of Bingtuan Education Institute