Report
On the pre-commutative envelopes of commutative algebras
| العنوان: | On the pre-commutative envelopes of commutative algebras |
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| المؤلفون: | Alhussein, H., Kolesnikov, P. |
| المصدر: | Journal of Algebra and its Applications, 2024 |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras |
| الوصف: | We prove that every nilpotent commutative algebra can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional algebras, the nilpotency condition is necessary for a commutative algebra to have a pre-commutative envelope. Comment: 13 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1142/s0219498826500088 |
| URL الوصول: | http://arxiv.org/abs/2405.03531 |
| رقم الانضمام: | edsarx.2405.03531 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1142/s0219498826500088 |
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