BL-代数的严格滤子  

On strict filters of BL-algebras

作　　者：杨永伟[1,2] 贺鹏飞[2] 李毅君[2,3] 

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550025 [2]西北大学数学系,陕西西安710127 [3]西安石油大学理学院,陕西西安710065

出　　处：《山东大学学报（理学版）》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)

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.

关 键 词：BL-代数 严格滤子 Godel代数 

分 类 号：O155[理学—数学]