Generalized Hom Γ-Derivation of n- BiHom Γ-Lie algebra
DOI:
https://doi.org/10.29304/jqcm.2023.15.3.1277Keywords:
derivation, Lie Algebra, CentroidAbstract
The purpose of this paper, is to introduce a new concepts which are induced n-Bi-Hom -Lie algebra, -Center, ( , ) -Center, ( , ) Hom - derivation, ( , ) Q-Hom , ( , ) Central Hom - derivation, ( , ) Hom - Centroid and give the condition to construct induced n- Bi-Hom -Lie algebra, studied Generalized Hom -derivations on direct sum of ideals and we studied the relation between Hom , Hom and Q Hom , Q Hom , G Hom .
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References
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[10] Zhou J., Chen L., Ma Y., Generalized derivations of Lie triple systems, Open Mathematics, 14 , 260-271,(2016).
[11] Zhou J., Chen L., Ma Y., Generalized derivations of Hom-Lie triple systems, Bulletin of the Malaysian Mathematical Sciences Society, 39 (2016).
[12] Beites P.D., Kaygorodov I., Popov Yu., Generalized derivations of multiplicative n-ary Hom-Ω Color algebras, Bull. Malays. Math. Sci., 42, 1, 315-115. (2019).
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[14] A. Alzaiad and R. Shaheen, "Involutive Gamma Derivations on n-Gamma Lie Algebra and 3- Pre Gamma-Lie Algebra," Iraqi Journal of Science, vol. 63, no. 3, pp. 1146-1157, (2022).
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[2] Leger, G. F., Luks, E. M., Generalized derivation of Lie algebras, Algebra, 228, 1, 165-203, (2000).
[3] Chen L., Ma Y., Ni L., Generalized derivations of Lie Color algebras, Results in math-ematics, 63 ,3-4, 923-936, (2013).
[4] Zhou J., Fan G., Generalized derivations of Hom-Lie Color algebra (Chinese), Pure Mathematics, 6 (2016), 3, 182-189.
[5] Zhou J., Fan G., Generalized derivations of n-Hom-Lie super algebras, Mathematica Aeterna, 6, 4, 533-550,(2016).
[6] Zhou J., Niu Y., Chen L., Generalized derivations of Hom-Lie algebras (Chinese), Acta Math. Sinica (Chin. Ser.), 58, 4, 551-558, (2015).
[7] Kaygorodov I., Popov Yu., Generalized derivations of (Color) n-ary algebras, Linear multilinear Algebra, 64, 6, 1086-1106, (2016).
[8] Zhang R., Zhang Y., Generalized derivations of Lie super algebras, Communications in Algebra, 38, 10, 3737-375, (2010).
[9] Komatsu H., Nakajima A., Generalized derivations of associative algebras, Quaestiones Mathematica, 26, 2, 213-235. (2003).
[10] Zhou J., Chen L., Ma Y., Generalized derivations of Lie triple systems, Open Mathematics, 14 , 260-271,(2016).
[11] Zhou J., Chen L., Ma Y., Generalized derivations of Hom-Lie triple systems, Bulletin of the Malaysian Mathematical Sciences Society, 39 (2016).
[12] Beites P.D., Kaygorodov I., Popov Yu., Generalized derivations of multiplicative n-ary Hom-Ω Color algebras, Bull. Malays. Math. Sci., 42, 1, 315-115. (2019).
[13] A. Rezaei and B. Davvaz, "Construction of Γ –Lie algebra and Γ –Lie Admissible," Korean Jornal of Mathematics, vol. 26, no. 3, pp. 175-189, (2018).
[14] A. Alzaiad and R. Shaheen, "Involutive Gamma Derivations on n-Gamma Lie Algebra and 3- Pre Gamma-Lie Algebra," Iraqi Journal of Science, vol. 63, no. 3, pp. 1146-1157, (2022).
[15] A.H. Rezaei, , B. Davvaz,S. and O. Dehkordi , Fundamentals of Γ- Algebra and Γ- Dimension, UPB Scientific Bulletin, Series A: applied Mathematics and Physics vol.76,no.2, pp.111-122 , (2014).
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Published
2023-09-30
How to Cite
Shaheen, R. C., & Rahman, A. H. (2023). Generalized Hom Γ-Derivation of n- BiHom Γ-Lie algebra. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(3), Math Page 1–13. https://doi.org/10.29304/jqcm.2023.15.3.1277
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Math Articles
