تقرير
A characterization of graded von Neumann regular rings with applications to Leavitt path algebras
| العنوان: | A characterization of graded von Neumann regular rings with applications to Leavitt path algebras |
|---|---|
| المؤلفون: | Lännström, Daniel |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 16W50, 16E50 |
| الوصف: | We provide a characterization of graded von Neumann regular rings involving the recently introduced class of nearly epsilon-strongly graded rings. As our main application, we generalize Hazrat's result that Leavitt path algebras over fields are graded von Neumann regular. More precisely, we show that a Leavitt path algebra $L_R(E)$ with coefficients in a unital ring $R$ is graded von Neumann regular if and only if $R$ is von Neumann regular. We also prove that both Leavitt path algebras and corner skew Laurent polynomial rings over von Neumann regular rings are semiprimitive and semiprime. Thereby, we generalize a result by Abrams and Aranda Pino on the semiprimitivity of Leavitt path algebras over fields. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1910.10390 |
| رقم الأكسشن: | edsarx.1910.10390 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |