Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras
In this paper, we mainly study super-bimodules on Bihom-Jordan superalgebras and present some interesting constructions from the perspective of super-bimodules. Meanwhile, we give abelian extension through super-bimodules. In addition, we give the representations, $ \mathcal{O} $-operators and Rota–...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-10-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024264 |
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| _version_ | 1832590776119328768 |
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| author | Ying Hou Liangyun Chen Keli Zheng |
| author_facet | Ying Hou Liangyun Chen Keli Zheng |
| author_sort | Ying Hou |
| collection | DOAJ |
| description | In this paper, we mainly study super-bimodules on Bihom-Jordan superalgebras and present some interesting constructions from the perspective of super-bimodules. Meanwhile, we give abelian extension through super-bimodules. In addition, we give the representations, $ \mathcal{O} $-operators and Rota–Baxter operators of Bihom-Jordan superalgebras. Specially, using $ \mathcal{O} $-operators, we characterize Bihom-pre-Jordan superalgebras. |
| format | Article |
| id | doaj-art-ce60f51246d346849195f0a8a7ff5574 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-ce60f51246d346849195f0a8a7ff55742025-01-23T07:52:53ZengAIMS PressElectronic Research Archive2688-15942024-10-0132105717573710.3934/era.2024264Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebrasYing Hou0Liangyun Chen1Keli Zheng2College of Science, Northeast Forestry University, Harbin 150040, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaCollege of Science, Northeast Forestry University, Harbin 150040, ChinaIn this paper, we mainly study super-bimodules on Bihom-Jordan superalgebras and present some interesting constructions from the perspective of super-bimodules. Meanwhile, we give abelian extension through super-bimodules. In addition, we give the representations, $ \mathcal{O} $-operators and Rota–Baxter operators of Bihom-Jordan superalgebras. Specially, using $ \mathcal{O} $-operators, we characterize Bihom-pre-Jordan superalgebras.https://www.aimspress.com/article/doi/10.3934/era.2024264bihom-jordan superalgebrasuper-bimodulerepresentation$ \mathcal{o} $-operatorbihom-pre-jordan superalgebra |
| spellingShingle | Ying Hou Liangyun Chen Keli Zheng Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras Electronic Research Archive bihom-jordan superalgebra super-bimodule representation $ \mathcal{o} $-operator bihom-pre-jordan superalgebra |
| title | Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras |
| title_full | Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras |
| title_fullStr | Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras |
| title_full_unstemmed | Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras |
| title_short | Super-bimodules and $ \mathcal{O} $-operators of Bihom-Jordan superalgebras |
| title_sort | super bimodules and mathcal o operators of bihom jordan superalgebras |
| topic | bihom-jordan superalgebra super-bimodule representation $ \mathcal{o} $-operator bihom-pre-jordan superalgebra |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024264 |
| work_keys_str_mv | AT yinghou superbimodulesandmathcalooperatorsofbihomjordansuperalgebras AT liangyunchen superbimodulesandmathcalooperatorsofbihomjordansuperalgebras AT kelizheng superbimodulesandmathcalooperatorsofbihomjordansuperalgebras |