Idempotent and Nilpotent Elements in Octonion Rings over Zp

George Chailos, Michael Aristidou, Phillip Brown

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
JournalStudia Universitatis Babes-Bolyai Mathematica
Volume69
Issue number1
Publication statusPublished - 2024

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