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Linear and Multilinear Algebra Volume 62, 2014 - Issue 9
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On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras

A.Kh. KhudoyberdiyevInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, Tashkent, Uzbekistan.
,
M. LadraDepartment of Algebra, University of Santiago de Compostela, Santiago de Compostela, Spain.Correspondence[email protected]
&
B.A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, Tashkent, Uzbekistan.
Pages 1220-1239 | Received 03 Apr 2013, Accepted 12 Jun 2013, Published online: 11 Oct 2013

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K. K. Abdurasulov & J. Q. Adashev. (2023) Solvable extensions of the naturally graded quasi-filiform Leibniz algebras. Communications in Algebra 51:2, pages 510-527.
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Jobir Q. Adashev. (2021) Classification of -dimensional solvable Leibniz algebras with n-dimensional nilradical. Communications in Algebra 49:4, pages 1751-1763.
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A. Shabanskaya. (2021) Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type . Communications in Algebra 49:4, pages 1370-1382.
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R. K. Gaybullaev, A. Kh. Khudoyberdiyev & K. Pohl. (2020) Classification of solvable Leibniz algebras with abelian nilradical and -dimensional extension. Communications in Algebra 48:7, pages 3061-3078.
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A. Shabanskaya. (2020) Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type . Communications in Algebra 48:2, pages 490-507.
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Kobiljon K. Abdurasulov, Jobir Q. Adashev, José M. Casas & Bakhrom A. Omirov. (2019) Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length. Communications in Algebra 47:4, pages 1578-1594.
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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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Articles from other publishers (5)

Kobiljon Abdurasulov, Jobir Adashev & Ivan Kaygorodov. (2023) Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical. Mathematics 11:5, pages 1120.
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K.K. Abdurasulov, B.A. Omirov, I.S. Rakhimov & G.O. Solijanova. (2021) Residually solvable extensions of an infinite dimensional filiform Leibniz algebra. Journal of Algebra 585, pages 697-722.
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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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I.A. Karimjanov, A.Kh. Khudoyberdiyev & B.A. Omirov. (2015) Solvable Leibniz algebras with triangular nilradicals. Linear Algebra and its Applications 466, pages 530-546.
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A.Kh. Khudoyberdiyev, I.S. Rakhimov & Sh.K. Said Husain. (2014) On classification of 5-dimensional solvable Leibniz algebras. Linear Algebra and its Applications 457, pages 428-454.
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