On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras
UDC 512.5 Let $\mathit{G}$ be an automorphism group. We study $\mathit{G}$-derivations associated with the Lie–Yamaguti superalgebras. The concept of $\mathit{G}$-derivation, which is a derivation under both bilinear and trilinear operations is defined for the Lie–Yamaguti superalgebras. We also st...
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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8857 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513333504901120 |
|---|---|
| author | Abdaoui, Meher Boujelben, Jamel Abdaoui, Meher Boujelben, Jamel |
| author_facet | Abdaoui, Meher Boujelben, Jamel Abdaoui, Meher Boujelben, Jamel |
| author_sort | Abdaoui, Meher |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:33:51Z |
| description | UDC 512.5
Let $\mathit{G}$ be an automorphism group. We study $\mathit{G}$-derivations associated with the Lie–Yamaguti superalgebras. The concept of $\mathit{G}$-derivation, which is a derivation under both bilinear and trilinear operations is defined for the Lie–Yamaguti superalgebras. We also study some important properties of $\mathit{G}$-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras. |
| doi_str_mv | 10.3842/umzh.v77i9.8857 |
| first_indexed | 2026-03-24T03:43:01Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8857 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:43:01Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-88572026-03-21T13:33:51Z On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras Abdaoui, Meher Boujelben, Jamel Abdaoui, Meher Boujelben, Jamel Lie-Yamaguti superalgebra; Derivation; Quasi-derivation Lie-Yamaguti superalgebra; Derivation; Quasi-derivation UDC 512.5 Let $\mathit{G}$ be an automorphism group. We study $\mathit{G}$-derivations associated with the Lie–Yamaguti superalgebras. The concept of $\mathit{G}$-derivation, which is a derivation under both bilinear and trilinear operations is defined for the Lie–Yamaguti superalgebras. We also study some important properties of $\mathit{G}$-derivations, as well as with their relationship with other derivations of the Lie–Yamaguti superalgebras. УДК 512.5 Про $\mathit{G}$-похідні супералгебр Лі–Ямагуті Нехай $\mathit{G}$ – група автоморфізмів. Досліджено $\mathit{G}$-похідні, пов'язані із супералгебрами Лі–Ямагуті. Для супералгебр Лі–Ямагуті введено поняття $\mathit{G}$-похідної, яке є похідною як для білінійних, так і трилінійних операцій. Вивчено деякі важливі властивості $\mathit{G}$-похідних та їхній зв'язок з іншими похідними супералгебр Лі–Ямагуті. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8857 10.3842/umzh.v77i9.8857 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 9 (2025); 590 Український математичний журнал; Том 77 № 9 (2025); 590 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8857/10562 Copyright (c) 2025 Meher Abdaoui, Jamel Boujelben |
| spellingShingle | Abdaoui, Meher Boujelben, Jamel Abdaoui, Meher Boujelben, Jamel On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title | On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title_alt | On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title_full | On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title_fullStr | On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title_full_unstemmed | On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title_short | On $\mathit{G}$-derivations of Lie–Yamaguti superalgebras |
| title_sort | on $\mathit{g}$-derivations of lie–yamaguti superalgebras |
| topic_facet | Lie-Yamaguti superalgebra Derivation Quasi-derivation Lie-Yamaguti superalgebra Derivation Quasi-derivation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8857 |
| work_keys_str_mv | AT abdaouimeher onmathitgderivationsoflieyamagutisuperalgebras AT boujelbenjamel onmathitgderivationsoflieyamagutisuperalgebras AT abdaouimeher onmathitgderivationsoflieyamagutisuperalgebras AT boujelbenjamel onmathitgderivationsoflieyamagutisuperalgebras |