Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (12): 53-57.DOI: 10.3778/j.issn.1002-8331.1602-0155

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Properties of homomorphism related subcoframe and its application

MA Jun1, WANG Yongbing2   

  1. 1.Department of Mathematics and Computer Science, Hebei Normal University for Nationalities, Chengde, Hebei 067000, China
    2.Nationalities College, Hebei Normal University, Shijiazhuang 050091, China
  • Online:2017-06-15 Published:2017-07-04


马  军1,王勇兵2   

  1. 1.河北民族师范学院 数学与计算机系,河北 承德 067000
    2.河北师范大学 民族学院,石家庄 050091

Abstract: In the paper, the relevant properties of subcoframe and co-frame homomorphism and connections among them with application are studied. Firstly the basic properties of subcoframe and co-frame homomorphism are discussed. Secondly, the properties of co-frame homomorphism related subcoframe are investigated. Thirdly, the properties related two parallel having same domain and same codomain are investigated by co-frame and embedding mapping. At last, the properties related the family of co-frame injective homomorphism having same codomain and pointing to single direction are investigated. The work of the paper is of worth as reference in studying of co-frame homomorphism.

Key words: lattice theory, co-frame, subcoframe, homomorphism, parallel homomorphim, injective homomorphism

摘要: 针对子余Frame和余Frame同态的相关性质以及两者之间的联系和应用进行了研究。首先对子余Frame及余Frame同态的相关性质进行了讨论;其次讨论了子余Frame和余Frame同态相结合的相关性质;第三,子余Frame和嵌入映射讨论了具有相同论域和余论域的两个平行余Frame同态的相关性质;最后,对具有相同论域的单向余Frame单同态族的性质进行了研究。该文的结果在关于余Frame同态的研究工作中具有参考价值。

关键词: 格论, 余Frame, 子余Frame, 同态, 平行同态, 单同态族