Idempotent and nilpotent elements in octonion rings over Z
In this paper, we show that the set O/Zp, where p is a prime number, does not form a skew field and discuss idempotent and nilpotent elements in the (finite) ring O/Zp. We provide examples and establish conditions for idempotency and nilpotency. Mathematics Subject Classification (2010): 15A33, 15A3...
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| Veröffentlicht in: | Studia Universitatis Babeș-Bolyai. Mathematica 2024-03, Vol.69 (1), p.3-14 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we show that the set O/Zp, where p is a prime number, does not form a skew field and discuss idempotent and nilpotent elements in the (finite) ring O/Zp. We provide examples and establish conditions for idempotency
and nilpotency.
Mathematics Subject Classification (2010): 15A33, 15A30, 20H25, 15A03.
Received 27 July 2021; Accepted 14 December 2021 |
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| ISSN: | 0252-1938 2065-961X |
| DOI: | 10.24193/subbmath.2024.1.01 |