The socle of Leavitt path algebras over a semiprime ring

• Date: 2023
• Main Author: Wardati, K.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: reduction theorem; semiprime; socle; line point; Primary 16S88; Secondary 16D70
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1850
• Journal Title: Algebra and Discrete Mathematics

The Reduction Theorem in Leavitt path algebra over a commutative unital ring is very important to prove that the Leavitt path algebra is semiprime if and only if the ring is also semiprime. Any minimal ideal in the semiprime ring and line point will construct a left minimal ideal in the Leavitt path...