Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (4): 92-96.

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About the Open Problem of P.Crawleg and R.P.Dilworth 

  

  1.  河南大学数学系 河南开封475001
  • Received:1999-06-10 Online:1999-12-30 Published:2024-09-09
  • About author:HU Chang-liu(1947-),male,native of Kaifeng,Henan,Master of Science,associate professor of Mathematics of Henan University,engages in ring theory,partially ordered sets and lattice theory.
  • Supported by:
    Supported by the Natural Science Foundation of Henan Province(9840517000) and the Natural Science Foundation of Henan Province Education Committee.(97110005)

Abstract: 本文讨论了P.Craw leg 和R.P.Dilw orth 提出的一个公开问题,研究了偏序集的带有固定点的保序映射,并且给出了若干充分或必要条件,使得一个偏序集的每一个保序映射都至少有一个固定点. 

Key words: 偏序集, 完备格, 保序映射, 固定点,  ,

CLC Number: