Near-rings on digital Hopf groups

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 inves...

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Veröffentlicht in:Applicable algebra in engineering, communication and computing communication and computing, 2018-06, Vol.29 (3), p.261-282
1. Verfasser: Lee, Dae-Woong
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0938-1279
1432-0622
DOI:10.1007/s00200-017-0341-z