Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (4): 509-515.

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Relational Representations of Strongly Algebraic Lattices

  

  1. 1. College of Mathematics and Information Science, Nanchang Hangkong University 2. Department of Science, Nanchang Institute of Technology

  • Received:2011-02-24 Online:2012-12-30 Published:2023-03-15
  • About author: XU Guang-hong(1976—), male, native of Wuhan, Hubei, a lecturer of Nanchang Hangkong University, M.S.D., engages in topology on lattices and domain theory; RAO San-ping(1980-), male, native of Jiujiang, Jiangxi, M.S.D., engages in domain theory.
  • Supported by:
    Supported by the National Natural Science Foundation of China(10861007)

Abstract: In this paper, we introduce and investigate the strongly regular relation. Then we give the relational representations and an intrinsic characterization of strongly algebraic lattices via mapping relation and strongly regular relation.

Key words:  binary relation, strongly regular relation, strongly algebraic lattice, mapping relation

CLC Number: