• 论文 •

### BL-代数的严格滤子

1. 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
• 收稿日期:2013-09-29 出版日期:2014-03-20 发布日期:2014-05-29
• 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

### On strict filters of BL-algebras#br#

YANG Yong-wei1, 2, HE Peng-fei2, LI Yi-jun2,3

1. 1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China;
2. Department of Mathematics, Northwest University, Xi’an 710127, Shaanxi, China;
3. College of Science, Xi’an Shiyou University, Xi’an 710065, Shaanxi, China
• Received:2013-09-29 Online:2014-03-20 Published:2014-05-29
• Supported by:
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)

Abstract: 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-algebra L, then L/F is a Gdel algebra. Finally, relationships among strict filters, integral filters, prime filters and other kinds of filters are displayed.

Key words: BL-algebra, Gdel algebra, strict filter

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