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Communications in Algebra Volume 39, 2010 - Issue 1
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Original Articles

The Classification of Naturally Graded p-Filiform Leibniz Algebras

L. M. Camacho Departamento Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain
,
J. R. Gómez Departamento Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain
,
A. J. González Departamento de Matemáticas, Universidad de Extremadura, Badajoz, Spain
&
B. A. Omirov Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, Tashkent, UzbekistanCorrespondence[email protected]
Pages 153-168 | Received 23 Dec 2008, Published online: 20 Jan 2011

Citations (17)

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Read on this site (7)

Jobir Adashev. (2023) Central extensions of 2-filiform Leibniz algebras. Communications in Algebra 51:5, pages 1886-1899.
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J. Q. Adashev, L. M. Camacho & B. A. Omirov. (2021) Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical. Linear and Multilinear Algebra 69:8, pages 1500-1520.
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Shavkat Ayupov, Karimbergen Kudaybergenov, Bakhrom Omirov & Kaiming Zhao. (2020) Semisimple Leibniz algebras, their derivations and automorphisms. Linear and Multilinear Algebra 68:10, pages 2005-2019.
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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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J. Q. Adashev, M. Ladra & B. A. Omirov. (2017) Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals. Communications in Algebra 45:10, pages 4329-4347.
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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 (10)

K.K. Abdurasulov, B.A. Omirov & I.S. Rakhimov. (2022) On some classes of solvable Leibniz algebras and their completeness. Journal of Algebra 610, pages 309-337.
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J. K. Adashev, M. Ladra & B. A. Omirov. (2019) Classification of Naturally Graded Zinbiel Algebras with Characteristic Sequence Equal to (n–p, p). Ukrainian Mathematical Journal 71:7, pages 985-1005.
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J.K. Adashev, L.M. Camacho & B.A. Omirov. (2017) Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras. Journal of Algebra 479, pages 461-486.
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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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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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Sh.A. Ayupov, L.M. Camacho, A.Kh. Khudoyberdiyev & B.A. Omirov. (2015) Leibniz algebras associated with representations of filiform Lie algebras. Journal of Geometry and Physics 98, pages 181-195.
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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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K. K. Masutova, B. A. Omirov & A. Kh. Khudoyberdiyev. (2013) Naturally graded Leibniz algebras with characteristic sequence (n − m, m). Mathematical Notes 93:5-6, pages 740-755.
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Jesús M. Cabezas, Luisa M. Camacho, José R. Gómez & Bakhrom A. Omirov. (2011) On the description of Leibniz algebras with nilindex n−3. Acta Mathematica Hungarica 133:3, pages 203-220.
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L.M. Camacho, J.R. Gómez & B.A. Omirov. (2010) Naturally graded -filiform Leibniz algebras . Linear Algebra and its Applications 433:2, pages 433-446.
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