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Finally, the construction is applied to obtain the well-known Poincaré-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, the universal enveloping algebra of color hom-Lie algebras is studied.
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Temel Bulgular & Veri:A construction of the free involutive hom-associative color algebra on a hom-module is described and applied to obtain the universal enveloping algebra of an involutive hom-Lie color algebra.
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Sonuç & Katkı:Finally, the construction is applied to obtain the well-known Poincaré-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Color hom-Lie algebra · enveloping algebra
Abstract
In this paper, the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free involutive hom-associative color algebra on a hom-module is described and applied to obtain the universal enveloping algebra of an involutive hom-Lie color algebra. Finally, the construction is applied to obtain the well-known Poincaré-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ARMAKAN, A., SILVESTROV, S., FARHANGDOOST, M. R. (2019). Enveloping algebras of color hom-Lie algebras. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 316–339. https://ajindex.com/articles/215006