Weakly Tripotent Elements in Quaternion Rings over ℤ

\nLet 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.\n

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-08-21
DOI
https://doi.org/10.1051/itmconf/20246701032/pdf
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Weakly Tripotent Elements in Quaternion Rings over ℤ

Springer Link (Chiba Institute of Technology)
Rings, Modules, and Algebras
article

Weakly Tripotent Elements in Quaternion Rings over ℤ

article en

Abstract

\nLet 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.\n

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 39%
Rings, Modules, and Algebras
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Weakly Tripotent Elements in Quaternion Rings over ℤ · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS