| Issue |
ITM Web Conf.
Volume 67, 2024
The 19th IMT-GT International Conference on Mathematics, Statistics and Their Applications (ICMSA 2024)
|
|
|---|---|---|
| Article Number | 01032 | |
| Number of page(s) | 6 | |
| Section | Mathematics, Statistics and Their Applications | |
| DOI | https://doi.org/10.1051/itmconf/20246701032 | |
| Published online | 21 August 2024 | |
Weakly Tripotent Elements in Quaternion Rings over ℤp
Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, 43000 Kajang, Selangor, Malaysia
* Corresponding author: yaphk@utar.edu.my
Let R be a ring. An element x ∈ R is weakly tripotent if x can be written as x3 = x or x3 = −x. In this paper, we discuss weakly tripotency in quaternion rings over ℤp, ℍ/ℤp. We also give some conditions for the element x ∈ ℍ/ℤp to be weakly tripotent.
© The Authors, published by EDP Sciences, 2024
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