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Communications in Algebra Volume 20, 1992 - Issue 12
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Original Articles

Centroids of nilpotent lie algabras

Duncan J. Melville St. Lawrence University, Canton, NY, 13617
Pages 3649-3682 | Received 01 Sep 1991, Published online: 27 Jun 2007

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Junna Ni. (2014) Centroids of Zinbiel Algebras. Communications in Algebra 42:4, pages 1844-1853.
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Runxuan Zhang & Yongzheng Zhang. (2010) Generalized Derivations of Lie Superalgebras. Communications in Algebra 38:10, pages 3737-3751.
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K. N. Ponomarev & A. Firat. (2001) GROUPS OF AUTOMORPHISMS OF CHEVALLEY ALGEBRAS. Communications in Algebra 29:9, pages 4139-4155.
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Linsheng Zhu & Daoji Meng. (2001) QUADRATIC LIE ALGEBRAS AND COMMUTATIVE ASSOCIATIVE ALGEBRAS. Communications in Algebra 29:5, pages 2249-2268.
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Duncan J. Melville. (1993) Centroids and cartan algebras. Communications in Algebra 21:8, pages 2791-2818.
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Articles from other publishers (16)

Hassan Oubba. (2023) Generalized quaternion algebras. Rendiconti del Circolo Matematico di Palermo Series 2 72:8, pages 4239-4250.
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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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Hassan Almutari & Abd Ghafur Ahmad. Quasi-centroids of four dimensional Leibniz algebras. Quasi-centroids of four dimensional Leibniz algebras.
Sh. K. Said Husain, I. S. Rakhimov & W. Basri. Centroids and derivations of low-dimensional Leibniz algebra. Centroids and derivations of low-dimensional Leibniz algebra.
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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M.A. Fiidow, I. S. Rakhimov & S.K. Said Husain. (2015) Centroids and derivations of associative algebras. Centroids and derivations of associative algebras.
Jianrong Peng, Liangyun Chen & Bing Sun. (2015) Centroids of Lie Supertriple Systems. Advances in Mathematical Physics 2015, pages 1-9.
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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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Xiaohong Liu & Liangyun Chen. (2013) The Centroid of a Lie Triple Algebra. Abstract and Applied Analysis 2013, pages 1-9.
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Pasha Zusmanovich. (2010) On δ-derivations of Lie algebras and superalgebras. Journal of Algebra 324:12, pages 3470-3486.
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Xuemei Zhang & Jianhua Zhou. (2012) Centroids of Differentiably Simple Color Algebras. Algebra Colloquium 13:03, pages 447-454.
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Georgia Benkart & Erhard Neher. (2006) The centroid of extended affine and root graded Lie algebras. Journal of Pure and Applied Algebra 205:1, pages 117-145.
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K. N. Ponomaryov. (2005) Automorphisms of Tensor Completions of Algebras. Algebra and Logic 44:3, pages 205-212.
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Konstantin N. Ponomarev. 2004. Algebra, Arithmetic and Geometry with Applications. Algebra, Arithmetic and Geometry with Applications 667 672 .
George F. Leger & Eugene M. Luks. (2000) Generalized Derivations of Lie Algebras. Journal of Algebra 228:1, pages 165-203.
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