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On Hom-Jacobi algebra structures | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 49-68 اصل مقاله (190.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.28806.1726 | ||
| نویسندگان | ||
| R. R. Moulengou Nkombo1؛ N. Mahoungou Moukala* 2 | ||
| 1Facult\'e des Sciences et Techniques, Universit\'e Marien Ngouabi, Brazzaville, Congo | ||
| 2Ecole Normale Sup\'erieure, Universit\'e Marien Ngouabi, Brazzaville, Congo | ||
| چکیده | ||
| We define hom-Jacobi algebras as an extension of hom-Poisson algebras and we give some examples. We describe the universal property of first-order hom-differential operators as well as the universal property of first-order hom-differential multi-operators. By using these universal properties, we prove the existence and uniqueness of a canonical purely hom-Jacobi form associated to purely hom-Jacobi algebra. | ||
| کلیدواژهها | ||
| Hom-Jacobi algebras؛ Hom-Lie algebras؛ First-order Hom-differential operators | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 92 تعداد دریافت فایل اصل مقاله: 130 |
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