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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)

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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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