تقرير
Non-associative versions of Hilbert's basis theorem
| العنوان: | Non-associative versions of Hilbert's basis theorem |
|---|---|
| المؤلفون: | Bäck, Per, Richter, Johan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 16S35, 16S36, 16W50, 16W70, 17A99, 17D99 |
| الوصف: | We prove several new versions of Hilbert's basis theorem for non-associative Ore extensions, non-associative skew Laurent polynomial rings, non-associative skew power series rings, and non-associative skew Laurent series rings. For non-associative skew Laurent polynomial rings, we show that both a left and a right version of Hilbert's basis theorem hold. For non-associative Ore extensions, we show that a right version holds, but give a counterexample to a left version; a difference that does not appear in the associative setting. Comment: 9 pages. Earlier versions of arXiv:2207.07994 have been split in two; this is the second part; corrected some typos; minor update |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.16889 |
| رقم الأكسشن: | edsarx.2404.16889 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |