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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 3

Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras

Juan Li0000-0002-0129-4544
Liangyun Chen0000-0002-2941-1087
Bing Sun0000-0002-2696-5359
Pages
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Publication Date
2019-06-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In particular, we discuss the equivalence of $T^*$-extensions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this article is to study Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras.
📊
Key Findings & Data:We show that the deformation generated by a Bihom-Nijienhuis operator is trivial.
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Conclusion & Impact:In particular, we discuss the equivalence of $T^*$-extensions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bihom-Lie superalgebras · Bihom-Nijienhuis operators · deformations

Abstract

The purpose of this article is to study Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras. We show that the deformation generated by a Bihom-Nijienhuis operator is trivial. Moreover, we introduce the definition of $T^*$-extensions of Bihom-Lie superalgebras and show that $T^*$-extensions preserve many properties such as nilpotency, solvability and decomposition in some sense. In particular, we discuss the equivalence of $T^*$-extensions.

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Cite This Article

Li, J., Chen, L., Sun, B. (2019). Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 3. https://ajindex.com/articles/1402794

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