Hom–Jordan–Malcev–Poisson algebras
UDC 512.5 We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called  Hom–Jordan–Malcev–Poisson algebras.   We show that they are closed under twisting by suitable self-maps and   give a characterization of admissible H...
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| Дата: | 2026 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6360 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 512.5
We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called  Hom–Jordan–Malcev–Poisson algebras.   We show that they are closed under twisting by suitable self-maps and   give a characterization of admissible Hom–Jordan–Malcev–Poisson algebras.  In addition, we introduce the notion of pseudo-Euclidian Hom–Jordan–Malcev–Poisson algebras and describe its $T^*$-extension.  Finally, we generalize the notion of Lie–Jordan–Poisson triple system to the Hom setting and establish its relationships with Hom–Jordan–Malcev–Poisson algebras. |
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| DOI: | 10.37863/umzh.v74i11.6360 |