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Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras

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Abstract

The Schur multiplier of a Lie algebra L, was introduced by Batten et al. (Commun Algebra 24:4319–4330, 1996). Salemkar and colleagues generalized the concept of the Schur multiplier to the c-nilpotent multiplier. Recently, the author introduced some exact sequences and gived some upper bounds for the dimension of the c-nilpotent multiplier of a pair of Lie algebras. In the present paper, we will extend these results. Moreover, we give some isomorphisms for the c-nilpotent multiplier of a pair of Lie algebras.

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Acknowledgements

The author would like to thank the referee for his/her comments.

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Authors and Affiliations

  1. Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran

    Homayoon Arabyani

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  1. Homayoon Arabyani
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Correspondence to Homayoon Arabyani.

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Communicated by Kailash C. Misra.

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Arabyani, H. Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras. Bull. Iran. Math. Soc. 45, 205–212 (2019). https://doi.org/10.1007/s41980-018-0126-6

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