Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleIdempotent and nilpotent elements in octonion rings over Z<sub>p</sub>.AuthorsAristidou, Michael; Brown, Philip R.; Chailos, GeorgeAbstractIn 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.SubjectsDIVISION rings; CAYLEY numbers (Algebra); PRIME numbers; IDEMPOTENTSPublicationStudia Universitatis Babeş-Bolyai, Mathematica, 2024, Vol 69, Issue 1, p3ISSN0252-1938Publication typeArticleDOI10.24193/subbmath.2024.1.01