تقرير
Flipped non-associative polynomial rings and the Cayley-Dickson construction
| العنوان: | Flipped non-associative polynomial rings and the Cayley-Dickson construction |
|---|---|
| المؤلفون: | Aryapoor, Masood, Bäck, Per |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 16W10, 17A20, 17A35, 17A70, 17A75, 17D05 |
| الوصف: | We introduce and study flipped non-associative polynomial rings. In particular, we show that all Cayley-Dickson algebras naturally appear as quotients of a certain type of such rings; this extends the classical construction of the complex numbers (and quaternions) as a quotient of a (skew) polynomial ring to the octonions, and beyond. We also extend some classical results on algebraic properties of Cayley-Dickson algebras by McCrimmon to a class of flipped non-associative polynomial rings. Comment: 18 pages; corrected an error |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.03763 |
| رقم الأكسشن: | edsarx.2403.03763 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |