Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 303-309.

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The Connectedness of Quantales

  

  1. 1. School of Mathematics and Statistics, Nanyang Normal University2. College of Mathematics and Information Science, Shaanxi Normal University
  • Received:2006-06-06 Online:2009-06-30 Published:2023-08-11
  • About author: WANG Shun-qin(1966-), male, native of Nanyang, Henan, an associate professor of Nanyang Normal University, Ph.D., engages in topology on lattice.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10871121); Supported by the Research Award for Teachers in Nangyang Normal University(nynu200749);

Abstract: The concepts of connectedness and locally connectedness is introduced for right- side idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quantale is also given.

Key words:  complete lattice, quantale, connectedness, regular Quantale

CLC Number: