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

Deformations and Extensions of BiHom-alternative algebras

Taoufik CHTIOUI
Sami MABROUK
Abdenacer MAKHLOUF
Sayfa
159–181
Yayın Tarihi
2023-07-10
DOI
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Finally, we investigate generalized derivations and give some relevant results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We study cohomology and one-parameter formal deformation theory of left BiHom-alternative algebras.
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Sonuç & Katkı:Finally, we investigate generalized derivations and give some relevant results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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