数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 402-405.

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Prequantale上最大空间式Frame

  

  1. Department of Mathematics, Nanyang Normal University, Nanyang 473061, China; College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
  • 收稿日期:2006-01-10 出版日期:2006-09-30 发布日期:2023-11-29
  • 作者简介:WANG Xue-qiang(1965-),male,native of Nanyang,Henan,a lecturer of Nanyang Normal University,M.S.D.,engages in lattices.
  • 基金资助:
     Supported by the National Natural Science Foundation of China(10471083);

The Largest Spatial Frame Quotient on Prequantale

  1. Department of Mathematics, Nanyang Normal University, Nanyang 473061, China; College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
  • Received:2006-01-10 Online:2006-09-30 Published:2023-11-29
  • About author:WANG Xue-qiang(1965-),male,native of Nanyang,Henan,a lecturer of Nanyang Normal University,M.S.D.,engages in lattices.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10471083);

摘要: Prequantale quotient is defined in terms of prequantic nucleus, some equivalent propositions of which is obtained. Also, prequantale quotient is proved to coincide with the quotient object in PQuant up to isomorphism. At last, the concrete structure of the largest spatial frame quotient in TPQuant is given.

关键词: prequantale, nucleus, prequantale ,  ,  , quotient

Abstract: Prequantale quotient is defined in terms of prequantic nucleus, some equivalent propositions of which is obtained. Also, prequantale quotient is proved to coincide with the quotient object in PQuant up to isomorphism. At last, the concrete structure of the largest spatial frame quotient in TPQuant is given.

Key words: prequantale, nucleus, prequantale ,  ,  , quotient

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