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Communications in Algebra Volume 34, 2006 - Issue 7
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Original Articles

Noncommutative Leibniz–Poisson Algebras

J. M. Casas Department of Applied Mathematics I, EUIT. Forestal, Pontevedra, SpainCorrespondence[email protected]
&
T. Datuashvili A. Razmadze Mathematical Institute, Tbilisi, Georgia
Pages 2507-2530 | Received 01 Mar 2005, Published online: 01 Feb 2007

Citations (16)

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Read on this site (5)

YuXiu Bai & Yuqun Chen. (2023) Extensions of Leibniz superalgebras. Communications in Algebra 51:5, pages 1809-1825.
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Yuxiu Bai & Yuqun Chen. (2022) Gröbner–Shirshov bases theory for Leibniz superalgebras. Communications in Algebra 50:8, pages 3524-3542.
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Mengtian Guo, Xianguo Hu, Jiafeng Lü & Xingting Wang. (2018) The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras. Communications in Algebra 46:6, pages 2714-2729.
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G. Militaru. (2015) The global extension problem, co-flag and metabelian Leibniz algebras. Linear and Multilinear Algebra 63:3, pages 601-621.
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J. M. Casas. (2007) Homology with Trivial Coefficients and Universal Central Extensions of Algebras with Bracket. Communications in Algebra 35:8, pages 2431-2449.
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Articles from other publishers (11)

Patrícia Damas Beites, Bruno Leonardo Macedo Ferreira & Ivan Kaygorodov. (2024) Transposed Poisson Structures. Results in Mathematics 79:2.
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Valiollah Khalili. (2021) The structure of split regular Hom-Leibniz–Poisson color algebras. Asian-European Journal of Mathematics 15:02.
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Kadir Emir & Selim Çetin. (2020) From simplicial homotopy to crossed module homotopy in modified categories of interest. Georgian Mathematical Journal 27:4, pages 541-556.
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Xianguo Hu, Jiafeng Lü & Xingting Wang. (2018) PBW-Basis for Universal Enveloping Algebras of Differential Graded Poisson Algebras. Bulletin of the Malaysian Mathematical Sciences Society 42:6, pages 3343-3377.
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T. Datuashvili. (2017) Categorical, Homological, and Homotopical Properties of Algebraic Objects. Journal of Mathematical Sciences 225:3, pages 383-533.
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JiaFeng Lü, XingTing Wang & GuangBin Zhuang. (2016) DG Poisson algebra and its universal enveloping algebra. Science China Mathematics 59:5, pages 849-860.
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A.L. Agore & G. Militaru. (2015) The global extension problem, crossed products and co-flag non-commutative Poisson algebras. Journal of Algebra 426, pages 1-31.
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José Casas, Tamar Datuashvili & Manuel Ladra. (2014) Left-right noncommutative Poisson algebras. Open Mathematics 12:1.
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Andrew James Bruce. (2014) Odd Jacobi Manifolds and Loday-Poisson Brackets. Journal of Mathematics 2014, pages 1-10.
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Yanhong Bao, Xianneng Du & Yu Ye. (2012) Poisson structures on basic cycles. Frontiers of Mathematics in China 7:3, pages 385-396.
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Yong Sheng Cheng & Yu Cai Su. (2011) (Co)Homology and universal central extension of Hom-Leibniz algebras. Acta Mathematica Sinica, English Series 27:5, pages 813-830.
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