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Communications in Algebra Volume 35, 2007 - Issue 12
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Original Articles

On Nilpotent Properties of Leibniz Algebras

Alexandros Patsourakos Mathematics Division, Hellenic Air Force Academy, Dekelia, Attiki, GreeceCorrespondence[email protected]
Pages 3828-3834 | Received 19 May 2006, Published online: 13 Dec 2007

Citations (17)

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Read on this site (8)

David A. Towers. (2021) On the nilradical of a Leibniz algebra. Communications in Algebra 49:10, pages 4345-4347.
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A. Shabanskaya. (2018) Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type ℒ2. Communications in Algebra 46:11, pages 5006-5031.
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A. Shabanskaya. (2017) Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ1 and ℒ3. Communications in Algebra 45:10, pages 4492-4520.
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A. Shabanskaya. (2017) Right and left solvable extensions of an associative Leibniz algebra. Communications in Algebra 45:6, pages 2633-2661.
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Chelsie Batten Ray, Alexander Combs, Nicole Gin, Allison Hedges, J.T. Hird & Laurie Zack. (2014) Nilpotent Lie and Leibniz Algebras. Communications in Algebra 42:6, pages 2404-2410.
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DonaldW. Barnes. (2013) Schunck Classes of Soluble Leibniz Algebras. Communications in Algebra 41:11, pages 4046-4065.
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DonaldW. Barnes. (2012) On Engel's Theorem for Leibniz Algebras. Communications in Algebra 40:4, pages 1388-1389.
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DonaldW. Barnes. (2011) Some Theorems on Leibniz Algebras. Communications in Algebra 39:7, pages 2463-2472.
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Articles from other publishers (9)

Jörg Feldvoss & Friedrich Wagemann. (2023) On the cohomology of solvable Leibniz algebras. Indagationes Mathematicae.
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Yao Ma & Liangyun Chen. (2017) Some Structure Theories of Leibniz Triple Systems. Algebras and Representation Theory 20:6, pages 1545-1569.
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Leonid A. Kurdachenko, Javier Otal & Alexander A. Pypka. (2016) Relationships between factors of canonical central series of Leibniz algebras. European Journal of Mathematics 2:2, pages 565-577.
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V. V. Gorbatsevich. (2016) On liezation of the Leibniz algebras and its applications. Russian Mathematics 60:4, pages 10-16.
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L.A. Kurdachenko, J. Otal & A.A. Pypka. (2016) On some relationships between the factors of the canonical central series of Leibniz algebras. Reports of the National Academy of Sciences of Ukraine:3, pages 14-18.
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L. M. Camacho, B. A. Omirov & K. K. Masutova. (2015) Solvable Leibniz Algebras with Filiform Nilradical. Bulletin of the Malaysian Mathematical Sciences Society 39:1, pages 283-303.
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Donald Barnes. (2013) Faithful representations of Leibniz algebras. Proceedings of the American Mathematical Society 141:9, pages 2991-2995.
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DONALD W. BARNES. (2011) ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS. Bulletin of the Australian Mathematical Society 86:2, pages 184-185.
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Lindsey Bosko, Allison Hedges, John Hird, Nathaniel Schwartz & Kristen Stagg. (2011) Jacobson’s refinement of Engel’s theorem for Leibniz algebras. Involve, a Journal of Mathematics 4:3, pages 293-296.
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