Z 上八分子环中的幂等元素和零点元素

Studia Universitatis Babes-Bolyai Matematica Pub Date : 2024-03-15 DOI:10.24193/subbmath.2024.1.01

Michael Aristidou, Philip R. Brown, George Chailos

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摘要

在本文中，我们证明了集合 O/Zp（其中 p 是素数）不构成一个倾斜域，并讨论了（有限）环 O/Zp 中的幂等元和零幂等元。我们举例说明并建立了幂等性和无幂性的条件：15A33, 15A30, 20H25, 15A03.2021 年 7 月 27 日收到；2021 年 12 月 14 日接受

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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, 15A30, 20H25, 15A03. Received 27 July 2021; Accepted 14 December 2021

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Studia Universitatis Babes-Bolyai Matematica

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