تقرير
A constructive counterpart of the subdirect representation theorem for reduced rings
| العنوان: | A constructive counterpart of the subdirect representation theorem for reduced rings |
|---|---|
| المؤلفون: | Kuroki, Ryota |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 16D70 (Primary) 16N60, 16U80, 16Z05, 03F65 (Secondary) |
| الوصف: | We give a constructive counterpart of the theorem of Andrunakievi\v{c} and Rjabuhin, which states that every reduced ring is a subdirect product of domains. As an application, we extract a constructive proof of the fact that every ring $A$ satisfying $\forall x\in A. x^3=x$ is commutative from a classical proof. We also prove a similar result for semiprime ideals. Comment: 4 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2408.09222 |
| رقم الأكسشن: | edsarx.2408.09222 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |