Hom–Jordan–Malcev–Poisson algebras

• Datum: 2026
• Hauptverfasser: Chtioui, T., Mabrouk, S., Makhlouf, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6360
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.