Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 261-282 |
| Number of pages | 22 |
| Journal | Applicable Algebra in Engineering, Communications and Computing |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2018.06.1 |
Keywords
- Digital homotopy associativity
- Digital homotopy commutativity
- Digital homotoy inverse
- Digital Hopf function
- Digital Hopf group
- Digital multiplication
- Near-ring
- Near-ring isomorphism
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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