Idempotent and nilpotent elements in octonion rings over Zp

Michael Aristidou; Philip R. Brown; George Chailos

doi:10.24193/subbmath.2024.1.01

Idempotent and nilpotent elements in octonion rings over Z_p

Michael Aristidou
, Philip R. Brown
, George Chailos

Texas A&M University

Research output: Contribution to journal › Article › peer-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/Z_p. We provide examples and establish conditions for idempotency and nilpotency.

Original language	English
Pages (from-to)	3-14
Number of pages	12
Journal	Studia Universitatis Babes-Bolyai Mathematica
Volume	69
Issue number	1
DOIs	https://doi.org/10.24193/subbmath.2024.1.01
Publication status	Published - 2024

Keywords

idempotent
nilpotent
octonion
Quaternion
ring
skew field

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10.24193/subbmath.2024.1.01

Cite this

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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.",

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PY - 2024

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KW - idempotent

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KW - octonion

KW - Quaternion

KW - ring

KW - skew field

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Idempotent and nilpotent elements in octonion rings over Z_p

Abstract

Keywords

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