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Original Articles

Generalized Derivations of Lie Superalgebras

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Pages 3737-3751 | Received 07 Apr 2009, Published online: 24 Nov 2010

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Read on this site (5)

Ibrahima Bakayoko & Ismail Laraiedh. (2024) Constructions and generalized derivations of multiplicative n-BiHom-Lie color algebras. Communications in Algebra 52:5, pages 1982-2014.
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N. Nandi, R. N. Padhan & K. C. Pati. (2022) Superderivations of direct and semidirect sum of Lie superalgebras. Communications in Algebra 50:3, pages 1055-1070.
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Nan Huang, Liangyun Chen & Yan Wang. (2018) Hom–Jordan algebras and their α-(a,b,c)-derivations. Communications in Algebra 46:6, pages 2600-2614.
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Aslan Doosti, Farshid Saeedi & Soodabeh Tajnia. (2017) Some properties of m-isoclinism and ID*-derivations in Filippov algebras. Cogent Mathematics 4:1.
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Ivan Kaygorodov & Yury Popov. (2016) Generalized derivations of (color) n-ary algebras. Linear and Multilinear Algebra 64:6, pages 1086-1106.
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Articles from other publishers (26)

Yuqiu Sheng, Wende Liu & Yang Liu. (2024) Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras. Journal of Mathematics 2024, pages 1-9.
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Sania Asif & Yao Wang. (2023) On the Lie triple derivation of Hom–Lie superalgebras. Asian-European Journal of Mathematics 16:10.
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Yusi Fan & Liangyun Chen. (2023) On (σ,τ)-derivations of lie superalgebras. Filomat 37:1, pages 179-192.
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Nejib Saadaoui & Sergei Silvestrov. 2023. Non-commutative and Non-associative Algebra and Analysis Structures. Non-commutative and Non-associative Algebra and Analysis Structures 761 789 .
Abdelkader Ben Hassine. (2021) Generalized derivations, quasiderivations and centroids of Bihom-Lie triple system. Asian-European Journal of Mathematics 15:06.
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Sania Asif & Zhixiang Wu. (2021) Generalized Lie Triple Derivations of Lie Color Algebras and Their Subalgebras. Symmetry 13:7, pages 1280.
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Yu Zhang & Xiaomin Tang. (2021) Generalized Derivations and Centroids of Ternary Jordan Superalgebras. Advances in Applied Clifford Algebras 31:3.
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Sami Mabrouk, Othmen Ncib & Sergei Silvestrov. (2021) Generalized Derivations and Rota-Baxter Operators of $$\varvec{n}$$-ary Hom-Nambu Superalgebras. Advances in Applied Clifford Algebras 31:3.
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Xin Zhou, Bing Sun, Xiaodong Zhao & Liangyun Chen. (2020) Quasiderivations and Quasicentroids of Novikov Algebras. Bulletin of the Iranian Mathematical Society 47:3, pages 869-882.
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Ismail Laraiedh. (2021) Constructions and $$T^{*}$$-Extensions of 3-BiHom-Lie Superalgebras. Advances in Applied Clifford Algebras 31:2.
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Amine Ben Abdeljelil, Mohamed Elhamdadi, Ivan Kaygorodov & Abdenacer Makhlouf. 2020. Algebraic Structures and Applications. Algebraic Structures and Applications 81 97 .
Abdelkader Ben Hassine, Sami Mabrouk & Othmen Ncib. (2019) Some Constructions of Multiplicative $$\varvec{n}$$-ary hom–Nambu Algebras. Advances in Applied Clifford Algebras 29:5.
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Guangzhe Fan, Yanyong Hong & Yucai Su. (2019) Generalized conformal derivations of Lie conformal algebras. Journal of Algebra and Its Applications 18:09, pages 1950175.
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P. D. Beites, Ivan Kaygorodov & Yury Popov. (2017) Generalized Derivations of Multiplicative n-Ary Hom- $$\Omega $$ Ω Color Algebras. Bulletin of the Malaysian Mathematical Sciences Society 42:1, pages 315-335.
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F. Saeedi & S. Sheikh-Mohseni. (2018) On ID ∗ -derivations of Filippov algebras . Asian-European Journal of Mathematics 11:04, pages 1850050.
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Jia Zhou, Liangyun Chen & Yao Ma. (2016) Generalized Derivations of Hom–Lie Triple Systems. Bulletin of the Malaysian Mathematical Sciences Society.
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Jia Zhou, Liangyun Chen & Yao Ma. (2016) Generalized derivations of Lie triple systems. Open Mathematics 14:1, pages 260-271.
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金森 周. (2016) Generalized Derivations of Hom-Lie Color Algebra. Pure Mathematics 06:03, pages 182-189.
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A. I. Shestakov. (2014) Ternary Derivations of Jordan Superalgebras. Algebra and Logic 53:4, pages 323-348.
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I. B. Kaygorodov. (2014) (n + 1)-ary derivations of semisimple Filippov algebras. Mathematical Notes 96:1-2, pages 208-216.
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Иван Борисович Кайгородов & Ivan Borisovich Kaygorodov. (2014) О $(n+1)$-арных дифференцированиях полупростых алгебр Филиппова$(n+1)$-ary Derivations of Semisimple Filippov algebras. Математические заметки Matematicheskie Zametki 96:2, pages 217-227.
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KELI ZHENG & YONGZHENG ZHANG. (2013) ON (α, β, γ)-DERIVATIONS OF LIE SUPERALGEBRAS. International Journal of Geometric Methods in Modern Physics 10:10, pages 1350050.
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Liangyun Chen, Yao Ma & Lin Ni. (2012) Generalized Derivations of Lie Color Algebras. Results in Mathematics 63:3-4, pages 923-936.
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A. I. Shestakov. (2012) Ternary derivations of separable associative and jordan algebras. Siberian Mathematical Journal 53:5, pages 943-956.
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Cheng-Kai Liu. (2011) A note on generalized derivations in Banach algebras. Journal of Mathematical Analysis and Applications 384:2, pages 192-197.
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Pao-Kuei Liau & Cheng-Kai Liu. (2011) Generalized Lie derivations on skew elements of prime algebras with involution. Linear Algebra and its Applications 435:1, pages 67-76.
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