摘要
引入了严格滤子的概念,给出了严格滤子与SBL-代数的关系,证明了若BL-代数L的滤子F是奇异的和严格的,则L/F是G¨odel代数。揭示了严格滤子与整滤子、素滤子等的关系。
In order to study the filter theory of BL-algebras, the concept of strict filters is introduced, and relationships between strict filters and SBL-algebra are showed. It is proved that if F is both a fantastic and strict filter of a BL-alge-bra L, then L/F is a Goodel algebra. Finally, relationships among strict filters, integral filters, prime filters and other kinds of filters are displayed.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2014年第3期63-67,共5页
Journal of Shandong University(Natural Science)
基金
陕西省教育厅科研计划资助项目(2013JK0562)
西北大学研究生自主创新资助项目(YZZ12061)
作者简介
杨永伟（1984-），男，博士，讲师，研究方向为模糊代数、逻辑代数．E—mail：yangyw2010@126．com
