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Original Articles

On the dimension of the c-nilpotent Schur Lie-multiplier of Leibniz algebras

Pages 1091-1098 | Received 27 Apr 2018, Accepted 20 Jun 2018, Published online: 05 Dec 2018

References

  • Arabyani, H., Saeedi, F., Moghaddam, M. R. R., Khamseh, E. (2014). On characterizing a pair of nilpotent Lie algebras by their Schur multipliers. Commun. Algebra 42(12):5474–5483.
  • Araskhan, M. (2013). The dimension of the c-nilpotent multiplier. J. Algebra 386:105–112.
  • Batten, P., Moneyhun, K., Stitzinger, E. (1996). On characterizing nilpotent Lie algebras by their multipliers. Commun. Algebra 24(14):4319–4330.
  • Biyogmam, G. R., Casas, J. M. (2018). On Lie-isoclinic Leibniz algebras. J. Algebra 499:337–357.
  • Biyogmam, G. R., Casas, J. M. (2017). The c-nilpotent Schur Lie-multiplier of Leibniz algebras. arXiv:1703.07148.
  • Bosko, L. (2010). On Schur multipliers of Lie algebra and groups of maximal class. Int. J. Algebra Comput. 20(06):807–821.
  • Casas, J. M., Khmaladze, E. (2017). On Lie-central extensions of Leibniz algebras. RACSAM 111(1):39–56.
  • Casas, J. M., Insua, M. A. (2017). The Schur Lie-multiplier of Leibniz algebras. arXiv: 1703.07148.
  • Loday, J.-L. (1992). Cyclic Homology, Grundl. Math. Wiss. Bd. Vol. 301. Berlin: Springer.
  • Loday, J.-L. (1993). Une version non commutative des algèbres de Lie: les algèbres de Leibniz. L’Enseignement Mathématique 39:269–292.
  • Hardy, P. (2005). On characterizing nilpotent Lie algebras by their multipliers (III). Commun. Algebra 33(11):4205–4210.
  • Hardy, P., Stitzinger, E. (1998). On characterizing nilpotent Lie algebras by their multipliers. t(L) = 3; 4; 5; 6. Commun. Algebra 26(11):3527–3539.
  • Niroomand, P., Russo, F. G. (2011). A note on the Schur multiplier of a nilpotent Lie algebra. Commun. Algebra 39(4):1293–1297.
  • Niroomand, P. (2011). On dimension of the Schur multiplier of nilpotent Lie algebras. Cent. Eur. J. Math. 9(1):57–64.
  • Rismanchian, M. R., Araskhan, M. (2012). Some inequalities for the dimension of the Schur multilier of a pair of (nilpotent) Lie algebras. J. Algebra 352(1):173–179.
  • Salemkar, A. R., Alamian, V., Mohammadzadeh, H. (2008). Some properties of the Schur multiplier and covers of Lie algebras. Comm. Algebra 36(2):697–707.
  • Salemkar, A. R., Edalatzadeh, B., Araskhan, M. (2009). Some inequalities for the dimension of the c-nilpotent multiplier of Lie algebras. J. Algebra 322(5):1575–1585.
  • Yankosky, B. (2003). On the multiplier of a Lie algebra. J. Lie Theory 13:1–6.

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