摘要
基于之前的工作,进一步刻画了BL代数的fantastic和normal滤子的等价条件,得到了两种滤子之间的条件等价关系,全面地解决了关于这两种滤子之间关系的两个公开问题:"在什么样的合适条件下,一个normal滤子成为一个fantastic滤子?"和"在什么合适的条件下,normal滤子的拓展性成立?"
Based on our previous work, we further characterize the fantastic filter and normal filter in BL-algebras, then get the conditional equivalent relation between the two filters, and completely solving two open problems regarding the relationship between these two filters of BL-algebras:(1)"Under what suitable condition a normal filter becomes a fantastic filter?" and (2)"(Extension property for a normal filter) Under what suitable condition extension property for normal filter holds?"
作者
王伟
杨鹏煕
徐扬
Wang Wei;Yang Pengxi;Xu Yang(College of Sciences,Xi ' an Shiyou University,Xi'an 710065,China;National-Local Joint Engineering Laboratory of System Credibility Automatic Verification,Southwest Jiaotong University,Chengdu 610031,China;System Credibility Automatic Verification Engineering Lab of Sichuan Province,Southwest Jiaotong University,Chengdu 610031,China)
出处
《纯粹数学与应用数学》
2019年第2期208-214,共7页
Pure and Applied Mathematics
基金
国家自然科学基金(11571281,61673320)
国家空间动力重点实验室基础项目(202300006)
中央大学基础研究基金(2682017ZT12)
陕西省大学生创新创业训练计划资助项目(201819062)
