Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (3): 306-308.

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A Frame Nucleus on a Two-side Prequantale

  

  1. Department of Mathematics, Nanyang Normal University, Nanyang 473061, China; College of Mathematics and Informations Sciences, Shaanxi Normal University, Xi'an 710062, China; College of Computer Science, Wuhan University, Wuhan 430071, China 
  • Received:2003-08-20 Online:2004-09-30 Published:2024-03-13
  • About author:XU Shao-xian(1964-),male,native of Nayang,Henan,an associate professor of Nanyang Normal University,M.S.D.,engages in algrbra.

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Abstract: In this paper, a Frame nucleus and prime elements in a Prequantale are defined. The concrete structure of a Frame prequantic quotient is considered, and the relation between the half-prime element and the Frame nucleus in a two-side Prequantale are obtained.


Key words: Prequantale, Frame nucleus, Prequantale quotient

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