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Cites:

Information Journal Paper

Title

Some properties of nilpotent Lie algebras

Pages

  15-20

Abstract

 In this article, using the definitions of Central series and nilpotency in the Lie algebras, we give some results similar to the works of Hulse and Lennox in 1976 and Hekster in 1986. Finally we will prove that every non trivial ideal of a nilpotent Lie algebra nontrivially intersects with the Centre of Lie algebra, which is similar to Philip Hall's result in the group theory.

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  • Cite

    APA: Copy

    RISMANCHIAN, M.R., & ARASKHAN, M.. (2019). Some properties of nilpotent Lie algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 5(18 ), 15-20. SID. https://sid.ir/paper/369954/en

    Vancouver: Copy

    RISMANCHIAN M.R., ARASKHAN M.. Some properties of nilpotent Lie algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2019;5(18 ):15-20. Available from: https://sid.ir/paper/369954/en

    IEEE: Copy

    M.R. RISMANCHIAN, and M. ARASKHAN, “Some properties of nilpotent Lie algebras,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 5, no. 18 , pp. 15–20, 2019, [Online]. Available: https://sid.ir/paper/369954/en

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