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Communications in Algebra Volume 42, 2014 - Issue 6
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Original Articles

Nilpotent Lie and Leibniz Algebras

Chelsie Batten Ray Department of Mathematics, North Carolina State University, Raleigh, North Carolina, USACorrespondence[email protected]
,
Alexander Combs Department of Mathematics, North Carolina State University, Raleigh, North Carolina, USA
,
Nicole Gin Department of Mathematics, North Carolina State University, Raleigh, North Carolina, USA
,
Allison Hedges Department of Mathematics, North Carolina State University, Raleigh, North Carolina, USA
,
J. T. Hird Department of Mathematics, West Virginia University, Institute of Technology, Montgomery, West Virginia, USA
&
Laurie Zack Department of Mathematics and Computer Science, High Point University, High Point, North Carolina, USA
Pages 2404-2410 | Received 16 Jul 2012, Published online: 01 Feb 2014

Citations (17)

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Read on this site (6)

Salvatore Siciliano & David A. Towers. (2022) On the subalgebra lattice of a Leibniz algebra. Communications in Algebra 50:1, pages 255-267.
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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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Orest D. Artemovych, Denis Blackmore & Anatolij K. Prykarpatski. (2017) Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems. Journal of Nonlinear Mathematical Physics 24:1, pages 41-72.
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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 (11)

L. M. Camacho, R. M. Navarro & B. A. Omirov. (2020) Complex cyclic Leibniz superalgebras. Revista Matemática Complutense 34:3, pages 675-690.
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Mehdi Jamshidi, Farshid Saeedi & Hamid Darabi. (2020) On classification of (n+6)-dimensional nilpotent n -Lie algebras of class 2 with n≥4 . Arab Journal of Mathematical Sciences ahead-of-print:ahead-of-print.
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David A. Towers. (2020) Leibniz A -algebras . Communications in Mathematics 28:2, pages 103-121.
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Seyedeh Narges Hosseini, Behrouz Edalatzadeh & Ali Reza Salemkar. (2020) The second relative homology of Leibniz algebras. Journal of Pure and Applied Algebra 224:1, pages 206-217.
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Orest Artemovych, Alexandr Balinsky & Anatolij Prykarpatski. (2019) Hamiltonian operators and related differential-algebraic Balinsky-Novikov, Riemann and Leibniz type structures on nonassociative noncommutative algebras. Proceedings of the International Geometry Center 12:4.
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William J. Cook, John Hall, Vicky W. Klima & Carter Murray. (2019) Leibniz algebras with low-dimensional maximal Lie quotients. Involve, a Journal of Mathematics 12:5, pages 839-853.
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Behrouz Edalatzadeh & Seyedeh Narges Hosseini. (2018) Characterizing nilpotent Leibniz algebras by a new bound on their second homologies. Journal of Algebra 511, pages 486-498.
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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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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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H. Darabi, F. Saeedi & M. Eshrati. (2016) A characterization of finite dimensional nilpotent Filippov algebras. Journal of Geometry and Physics 101, pages 100-107.
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Baoling Guan, Liangyun Chen & Yao Ma. (2015) Some necessary and sufficient conditions for nilpotent n-Lie superalgebras. Czechoslovak Mathematical Journal 64:4, pages 1019-1034.
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