Buchumschlag

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
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
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal
_version_ 1860512338253185024
author Chtioui, T.
Mabrouk, S.
Makhlouf, A.
Chtioui, T.
Mabrouk, S.
Makhlouf, A.
author_facet Chtioui, T.
Mabrouk, S.
Makhlouf, A.
Chtioui, T.
Mabrouk, S.
Makhlouf, A.
author_sort Chtioui, T.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2026-02-23T13:26:25Z
description 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.
doi_str_mv 10.37863/umzh.v74i11.6360
first_indexed 2026-03-24T03:27:12Z
format Article
fulltext Skip to main content Skip to main navigation menu Skip to site footer Open Menu Ukrains’kyi Matematychnyi Zhurnal Current Archives Submissions Major topics of interest About About Journal Editorial Team Ethics & Disclosures Contacts Search Register Login Home / Login Login Required fields are marked with an asterisk: * Subscription required to access item. To verify subscription, log in to journal. Login Username or Email * Required Password * Required Forgot your password? Keep me logged in Login Register Language English Українська Information For Readers For Authors For Librarians subscribe Subscribe Latest publications Make a Submission Make a Submission STM88 menghadirkan Link Gacor dengan RTP tinggi untuk peluang menang yang lebih sering! Bergabunglah sekarang dan buktikan keberuntungan Anda! Pilih STM88 sebagai agen toto terpercaya Anda dan nikmati kenyamanan bermain dengan sistem betting cepat, result resmi, dan bonus cashback harian.
id umjimathkievua-article-6360
institution Ukrains’kyi Matematychnyi Zhurnal
keywords_txt_mv keywords
language English
last_indexed 2026-03-24T03:27:12Z
publishDate 2026
publisher Institute of Mathematics, NAS of Ukraine
record_format ojs
resource_txt_mv umjimathkievua/06/f84534e7352158450e94a99bb0ae2506
spelling umjimathkievua-article-63602026-02-23T13:26:25Z Hom–Jordan–Malcev–Poisson algebras Hom–Jordan–Malcev–Poisson algebras Chtioui, T. Mabrouk, S. Makhlouf, A. Chtioui, T. Mabrouk, S. Makhlouf, A. Hom-JMP-algebra, Hom-Malcev algebra, Hom-Jordan algebra, Hom-flexible algebras, admissible Hom-JMP algebra, Pseudo-Euclidian Hom-JMP algebra, Hom-Lie-Jordan-Poisson triple system. Algebra 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. УДК 512.5 Алгебри Хома–Йордана–Мальцева–Пуассона Введено та досліджено узагальнення типу  Хома для алгебр Йордана–Мальцева–Пуассона, які називаються алгебрами Хома–Йордана–Мальцева–Пуассона.  Показано, що всі ці алгебри  замкнені щодо скруту відповідними самовідображеннями. Дано характеристику допустимих алгебр Хома–Йордана–Мальцева–Пуассона.  Крім того, введено поняття псевдоевклідової алгебри Хома–Йордана–Мальцева–Пуассона  та описано її $T^*$-розширення.  Насамкінець узагальнено поняття потрійної системи Лі–Йордана–Пуассона до постановки Хома і встановлено її зв'язки з  алгеброю Хома–Йордана–Мальцева–Пуассона. Institute of Mathematics, NAS of Ukraine 2026-02-22 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6360 10.37863/umzh.v74i11.6360 Ukrains’kyi Matematychnyi Zhurnal; Vol. 74 No. 11 (2022); 1571 - 1582 Український математичний журнал; Том 74 № 11 (2022); 1571 - 1582 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6360/9335 Copyright (c) 2022 Abdenacer Makhlouf
spellingShingle Chtioui, T.
Mabrouk, S.
Makhlouf, A.
Chtioui, T.
Mabrouk, S.
Makhlouf, A.
Hom–Jordan–Malcev–Poisson algebras
title Hom–Jordan–Malcev–Poisson algebras
title_alt Hom–Jordan–Malcev–Poisson algebras
title_full Hom–Jordan–Malcev–Poisson algebras
title_fullStr Hom–Jordan–Malcev–Poisson algebras
title_full_unstemmed Hom–Jordan–Malcev–Poisson algebras
title_short Hom–Jordan–Malcev–Poisson algebras
title_sort hom–jordan–malcev–poisson algebras
topic_facet Hom-JMP-algebra
Hom-Malcev algebra
Hom-Jordan algebra
Hom-flexible algebras
admissible Hom-JMP algebra
Pseudo-Euclidian Hom-JMP algebra
Hom-Lie-Jordan-Poisson triple system.
Algebra
url https://umj.imath.kiev.ua/index.php/umj/article/view/6360
work_keys_str_mv AT chtiouit homjordanmalcevpoissonalgebras
AT mabrouks homjordanmalcevpoissonalgebras
AT makhloufa homjordanmalcevpoissonalgebras
AT chtiouit homjordanmalcevpoissonalgebras
AT mabrouks homjordanmalcevpoissonalgebras
AT makhloufa homjordanmalcevpoissonalgebras

Ähnliche Einträge