An application of the Zhou radical to the \(e\)-reversibility of rings

• Datum: 2026
• Hauptverfasser: Ungor, Burcu, Kose, Handan, Harmanci, Abdullah
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2026
• Schlagworte: reversible ring; \(e\)-reversible ring; Zhou radical; idempotent element; Morita context; 16U40; 16U80; 16N40; 16U99; 16S50
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2462
• Назва журналу: Algebra and Discrete Mathematics

Let \(R\) be a ring and \(e\) be an idempotent element of \(R\). The Zhou radical of \(R\) denoted by \(\delta(R)\) is the intersection of maximal essential right ideals of \(R\). In the literature, \(e\)-reversible rings were studied regarding the question of how idempotent elements affect the reve...