| 与子余Frame相关的同态的性质与应用 |
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| 引用本文： | 马 军,王勇兵. 与子余Frame相关的同态的性质与应用[J]. 计算机工程与应用, 2017, 53(12): 53-57. DOI: 10.3778/j.issn.1002-8331.1602-0155 |
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| 作者姓名： | 马 军 王勇兵 |
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| 作者单位： | 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 |
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| 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。
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| 关 键 词： | 格论 余Frame 子余Frame 同态 平行同态 单同态族 |
Properties of homomorphism related subcoframe and its application |
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| MA Jun,WANG Yongbing. Properties of homomorphism related subcoframe and its application[J]. Computer Engineering and Applications, 2017, 53(12): 53-57. DOI: 10.3778/j.issn.1002-8331.1602-0155 |
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| Authors: | MA Jun WANG Yongbing |
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| Affiliation: | 1.Department of Mathematics and Computer Science, Hebei Normal University for Nationalities, Chengde, Hebei 067000, China2.Nationalities College, Hebei Normal University, Shijiazhuang 050091, China |
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| 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. |
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| Keywords: | lattice theory co-frame subcoframe homomorphism parallel homomorphim injective homomorphism |
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