On 2-UNJ rings

A ring [Formula: see text] is called a 2-(UNJ) ring if [Formula: see text]. In this paper, we explore the fundamental properties of 2-UNJ rings and present several characterizations. Notably, we prove that every 2-UNJ ring is Dedekind-finite. Additionally, we show that [Formula: see text] is a regular 2-UNJ ring if and only if it is tripotent.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-09-21
DOI
https://doi.org/10.1142/s1793557125501050
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

On 2-UNJ rings

Phan Hồng Tín
Asian-European Journal of Mathematics
Rings, Modules, and Algebras
article

On 2-UNJ rings

Phan Hồng Tín
article en

Abstract

A ring [Formula: see text] is called a 2-(UNJ) ring if [Formula: see text]. In this paper, we explore the fundamental properties of 2-UNJ rings and present several characterizations. Notably, we prove that every 2-UNJ ring is Dedekind-finite. Additionally, we show that [Formula: see text] is a regular 2-UNJ ring if and only if it is tripotent.

Asian-European Journal of MathematicsVol. 19(06)
Industrial University of Ho Chi Minh City (VN)
Openalex Percentile: Top 65%
Rings, Modules, and Algebras
DOISourceOpenAlex
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On 2-UNJ rings — Phan Hồng Tín · Asian-European Journal of Mathematics (2025) | TGRS Research Map | TGRS