摘要
在BL-代数上,将模糊集理论应用到素理想理论中,引入了模糊素理想的概念,研究了模糊素理想的性质,获得了模糊素理想的若干刻画方法和模糊素理想延拓定理等重要结果,证明了由模糊素理想构造的模糊商BL-代数是一个MV-链.
The concept of fuzzy prime ideals is proposed by applying the fuzzy set theory to the prime ideal theory of BL-algebras. The properties of fuzzy prime ideals are investigated, and some characterizations of prime ideals and other important results such as the extension theorem of prime ideals are obtained. It is proved that a fuzzy quotient BL-algebra constructed by a fuzzy prime ideal is an MV-chain.
作者
杨永伟
路玲玲
贺鹏飞
辛小龙
YANG Yong-wei LU Ling-ling HE Peng-fei XIN Xiao-long(School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China School of Mathematics, Northwest University, Xi＇an 710127, China)
出处
《数学的实践与认识》
北大核心
2016年第24期247-253,共7页
Mathematics in Practice and Theory
基金
河南省高等学校重点科研项目(16A110028
16A130004)
