Near-rings on digital Hopf groups

被引:0
作者
Dae-Woong Lee
机构
[1] Chonbuk National University,Department of Mathematics, Institute of Pure and Applied Mathematics
来源
Applicable Algebra in Engineering, Communication and Computing | 2018年 / 29卷
关键词
Digital multiplication; Digital Hopf group; Digital homotopy associativity; Digital homotopy commutativity; Digital homotoy inverse; Digital Hopf function; Near-ring; Near-ring isomorphism; Primary 68U05; Secondary 68U10; 16S60; 16W80; 68R10; 52C45;
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学科分类号
摘要
In this paper, we study the digital Hopf groups and the digital Hopf functions between digital Hopf spaces with digital multiplications, and construct a near-ring structure on the set of all pointed digital homotopy classes of digital Hopf functions between pointed digital Hopf groups. We also investigate a near-ring homomorphism between near-rings based on the pointed digital Hopf groups to find a new method of how to give answers to the original problems or how to get a new information out of old ones more effectively.
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页码:261 / 282
页数:21
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