A decomposition theorem for semiprime rings

• Дата: 2018
• Автор: Khibina, Marina
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: minor of a ring; local idempotent; semiprime ring; Peirce decomposition; 16P40; 16G10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/916
• Назва журналу: Algebra and Discrete Mathematics

A ring \(A\) is called an \(FDI\)-ring if there exists a decomposition of the identity of \(A\) in a sum of finite number of pairwise orthogonal primitive idempotents. We call a primitive idempotent \(e\) artinian if the ring \(eAe\) is Artinian. We prove that every semiprime \(FDI\)-ring is a direc...