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Communications in Algebra Volume 37, 2009 - Issue 6
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Original Articles

Cartan Subalgebras of Leibniz n-Algebras

S. Albeverio Institut für Angewandte Mathematik, Universität Bonn, Bonn, Germany
,
Sh. A. Ayupov Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, Tashkent, Uzbekistan
,
B. A. Omirov Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, Tashkent, UzbekistanCorrespondence[email protected]
&
R. M. Turdibaev Department of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
Pages 2080-2096 | Received 12 Feb 2008, Published online: 06 Jun 2009

Citations (9)

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Read on this site (2)

Antonio J. Calderón, Francisco J. Navarro & José M. Sánchez. (2017) Arbitrary triple systems admitting a multiplicative basis. Communications in Algebra 45:3, pages 1203-1210.
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F. Gago, M. Ladra, B.A. Omirov & R.M. Turdibaev. (2013) Some radicals, Frattini and Cartan subalgebras of Leibniz n-algebras. Linear and Multilinear Algebra 61:11, pages 1510-1527.
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Articles from other publishers (7)

Hesam Safa & Guy R. Biyogmam. (2022) $$\mathsf {Lie}$$-isoclinism in Leibniz n-algebras. São Paulo Journal of Mathematical Sciences 17:2, pages 774-788.
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Antonio J. Calderón Martín, Francisco J. Navarro Izquierdo & José M. Sánchez Delgado. (2018) n-Algebras admitting a multiplicative basis. Journal of Algebra and Its Applications 17:02, pages 1850025.
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Baoling Guan, Liangyun Chen & Yao Ma. (2015) Some necessary and sufficient conditions for nilpotent n-Lie superalgebras. Czechoslovak Mathematical Journal 64:4, pages 1019-1034.
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Antonio J. Calderón Martı´n & José M. Sánchez-Delgado. (2013) On split Leibniz superalgebras. Linear Algebra and its Applications 438:12, pages 4709-4725.
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L. M. CAMACHO, J. M. CASAS, J. R. GÓMEZ, M. LADRA & B. A. OMIROV. (2012) ON NILPOTENT LEIBNIZ n-ALGEBRAS. Journal of Algebra and Its Applications 11:03, pages 1250062.
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Bai Ruipu & Zhang Jie. (2011) The classifications of nilpotent Leibniz 3-algebras. Acta Mathematica Scientia 31:5, pages 1997-2006.
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J.M. Casas, E. Khmaladze & M. Ladra. (2010) Higher Hopf formula for homology of Leibniz -algebras . Journal of Pure and Applied Algebra 214:6, pages 797-808.
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