J4 ›› 2013, Vol. 48 ›› Issue (12): 47-51.

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Topological properties of maximal filters in BL algebras


LUO Qing-jun1, 2, WANG Guo-jun1*   

  1. 1. Institute of Mathematics, Shaanxi Normal University, Xi’an 710062, Shaanxi, China;
    2. College of Statistics, Xi’an University of Finance and Economics, Xi’an 710100, Shaanxi, China
  • Received:2013-06-20 Online:2013-12-20 Published:2014-01-09

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Abstract:

Two types of topologies J and J* are established on the set MF(L) of all maximal filters in a BL algebra L. It is proved that (MF(L), J) is a compact Hausdorff space, and (MF(L), J*) is a T1 space. Also, we show that J and J* are the same topology if the related universe is either finite or infinite linearly ordered.

Key words: BL algebra; maximal filter; compact Hausdorff space

CLC Number: 

  • O141
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