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Journals / International Electronic Journal of Algebra / 2023 / Cilt: 34 Sayı: 34

Deformations and Extensions of BiHom-alternative algebras

Taoufik CHTIOUI
Sami MABROUK
Abdenacer MAKHLOUF
Pages
159–181
Publication Date
2023-07-10
DOI
—
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AI Summary & Key Takeaways

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

Finally, we investigate generalized derivations and give some relevant results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps.
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Key Findings & Data:We study cohomology and one-parameter formal deformation theory of left BiHom-alternative algebras.
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Conclusion & Impact:Finally, we investigate generalized derivations and give some relevant results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:BiHom-alternative algebra · representation · cohomology

Abstract

The aim of this paper is to deal with BiHom-alternative algebras which are a generalization of alternative and Hom-alternative algebras, their structure is defined with two commuting multiplicative linear maps. We study cohomology and one-parameter formal deformation theory of left BiHom-alternative algebras. Moreover, we study central and $T_\theta$-extensions of BiHom-alternative algebras and their relationship with cohomology. Finally, we investigate generalized derivations and give some relevant results.

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Cite This Article

CHTIOUI, T., MABROUK, S., MAKHLOUF, A. (2023). Deformations and Extensions of BiHom-alternative algebras. International Electronic Journal of Algebra, Cilt: 34 Sayı: 34, 159–181. https://ajindex.com/articles/953322

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