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Linear and Multilinear Algebra Volume 59, 2011 - Issue 9
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Original Articles

3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras

L.M. Camacho Departmento de Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, Sevilla 41012 s/n, SpainCorrespondence[email protected]
,
E.M. Cañete Departmento de Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, Sevilla 41012 s/n, Spain
,
J.R. Gómez Departmento de Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, Sevilla 41012 s/n, Spain
&
B.A. Omirov Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, F. Hodjaev str. 29, Tashkent 100125, Uzbekistan
Pages 1039-1058 | Received 14 Sep 2010, Accepted 09 Jan 2011, Published online: 15 Apr 2011

Citations (10)

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Read on this site (3)

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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Articles from other publishers (7)

A. S. Hegazi, Hani Abdelwahab & A. J. Calderon Martin. (2017) Classification of Nilpotent Malcev Algebras of Small Dimensions Over Arbitrary Fields of Characteristic not 2. Algebras and Representation Theory 21:1, pages 19-45.
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Antonio J. Calderón Martín. (2017) Leibniz Algebras Admitting a Multiplicative Basis. Bulletin of the Malaysian Mathematical Sciences Society 40:2, pages 679-695.
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Rosa María Navarro. (2016) Classification of filiform Lie algebras of order 3. Journal of Geometry and Physics 110, pages 248-258.
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A.S. Hegazi, Hani Abdelwahab & A.J. Calderon Martin. (2016) The classification of N-dimensional non-Lie Malcev algebras with (N-4)-dimensional annihilator. Linear Algebra and its Applications 505, pages 32-56.
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L. M. Camacho, E. M. Cañete, J. R. Gómez & B. A. Omirov. (2016) 3-filiform Leibniz algebras of maximum length. Siberian Mathematical Journal 57:1, pages 24-35.
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L.M. Camacho, E.M. Cañete, J.R. Gómez & B.A. Omirov. (2014) p -Filiform Leibniz algebras of maximum length. Linear Algebra and its Applications 450, pages 316-333.
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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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