Geodesic
Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 159-164

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The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the c-nilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier of a pair of Lie algebras. The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of a pair of Lie algebras.
Keywords: pair of Lie algebras, Schur multiplier, nilpotent Lie algebra 
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Arabyani, Homayoon; Sadeghifard, Mohammad Javad; Sheikh-Mohseni, Sedigheh. Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 159-164. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a1/