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Communications in Algebra Volume 43, 2015 - Issue 6
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Original Articles

Solvable Leibniz Algebras with Heisenberg Nilradical

Lindsey Bosko-Dunbar Department of Mathematics, Spring Hill College, Mobile, Alabama, USA
,
Jonathan D. Dunbar Department of Mathematics, Spring Hill College, Mobile, Alabama, USA
,
J. T. Hird Department of Mathematics, West Virginia University, Institute of Technology, Montgomery, West Virginia, USACorrespondence[email protected]
&
Kristen Stagg Department of Mathematics, The University of Texas at Tyler, Tyler, Texas, USA
Pages 2272-2281 | Received 01 Aug 2013, Published online: 17 Apr 2015

Citations (14)

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Lindsey Bosko-Dunbar, Jonathan D. Dunbar, J. T. Hird & Kristen Stagg Rovira. (2023) Second-maximal subalgebras of Leibniz algebras. Communications in Algebra 51:9, pages 3965-3971.
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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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Saıd Benayadi & Samiha Hidri. (2016) Leibniz Algebras with Invariant Bilinear Forms and Related Lie Algebras. Communications in Algebra 44:8, pages 3538-3556.
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Articles from other publishers (4)

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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Luisa M. Camacho, Ivan Kaygorodov, Bakhrom Omirov & Gulkhayo Solijanova. (2020) Some cohomologically rigid solvable Leibniz algebras. Journal of Algebra 560, pages 502-520.
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M. Ceballos, J. Núñez & Á. F. Tenorio. (2017) Finite-dimensional Leibniz algebras and combinatorial structures. Communications in Contemporary Mathematics 20:01, pages 1750004.
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