تقرير
A Classification of Two-dimensional Endo-commutative Algebras over F_2
| العنوان: | A Classification of Two-dimensional Endo-commutative Algebras over F_2 |
|---|---|
| المؤلفون: | Takahasi, Sin-Ei, Shirayanagi, Kiyoshi, Tsukada, Makoto |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 17A30 (Primary), 17D99, 13A99 (Secondary) |
| الوصف: | We introduce a new class of algebras called endo-commutative algebras in which the square mapping preserves multiplication, and provide a complete classification of endo-commutative algebras of dimension 2 over the field F_2 of two elements. We list all multiplication tables of the algebras up to isomorphism. This clarifies the difference between commutativity and endo-commutativity of algebras. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2211.04015 |
| رقم الأكسشن: | edsarx.2211.04015 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |