Have a personal or library account? Click to login
Finite-dimensional Zinbiel algebras and combinatorial structures Cover

References

  1. [1] A. Carriazo, L.M. Fernández and J. Núñez. Combinatorial structures associated with Lie algebras of finite dimension. Linear Algebra Appl. 389 (2004), 43–61.
  2. [2] A.S. Dzhumadil’Daev and K.M. Tulenbaev. Nilpotency of Zinbiel algebras. Journal of Dynamical and Control Systems 11:2 (2005), 195–213.10.1007/s10883-005-4170-1
  3. [3] M. Ceballos, J. Núñez and A. F. Tenorio. Study of Lie algebras by using combinatorial structures, Linear Algebra Appl. 436 (2012), 349–363.10.1016/j.laa.2010.11.030
  4. [4] M. Ceballos, J. Núñez and A. F. Tenorio. Finite-dimensional Leibniz algebras and combinatorial structures. Communications in Contemporary Mathematics 20:1 (2018), 34 pag.10.1142/S0219199717500043
  5. [5] F. Harary. Graph Theory. Addison-Wesley, Reading, 1969.10.21236/AD0705364
  6. [6] I. Kaygorodov, Y. Popov, A. Pozhidaev and Y. Volkov. Degenerations of Zinbiel and nilpotent Leibniz algebras. Linear and Multilinear Algebra 66:4 (2018).10.1080/03081087.2017.1319457
  7. [7] J.L. Loday: Cup-product for Leibniz cohomology and dual Leibniz algebras. Math. Scand. 77:2 (1995), 189–196.10.7146/math.scand.a-12560
  8. [8] J.L. Loday: Dialgebras. In J.L. Loday, F. Chapoton, A. Frabetti and F. Goichot: Dialgebras and Related Operads. Lecture Notes in Mathematics, vol. 1763. Springer, Berlin, Heidelberg, pp. 7–66.
  9. [9] H.S. Wilf: Algorithms and Complexity. 2nd edition. A K Peters, Natick, 2002.10.1201/b10621
DOI: https://doi.org/10.2478/auom-2022-0035 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 67 - 96
Submitted on: Nov 2, 2021
Accepted on: Jan 30, 2022
Published on: Oct 8, 2022
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2022 Manuel Ceballos, Juan Núñez, Ángel F. Tenorio, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.