Additivity of elementary maps on alternative rings

• Date: 2019
• Main Author: Ferreira, Bruno
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: elementary maps; alternative rings; additivity; 17A36; 17D99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610
• Journal Title: Algebra and Discrete Mathematics

Let \(\mathfrak{R}\) and \(\mathfrak{R}'\) be alternative rings. In this article we investigate the additivity of surjective elementary maps of \({\mathfrak{R}\times \mathfrak{R}'}\). As a main theorem, we prove that if \(\mathfrak{R}\) contains a non-trivial idempotent satisfying some con...