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On Leibniz Algebras Whose Centralizers Are Ideals

Author

Listed:
  • Pratulananda Das

    (Jadavpur University)

  • Ripan Saha

    (Raiganj University)

Abstract

This paper concerns the study of Leibniz algebras, a natural generalization of Lie algebras, from the perspective of centralizers of elements. We study conditions on Leibniz algebras under which centralizers of all elements are ideals. We call a Leibniz algebra, a CL-algebra if centralizers of all elements are ideals. We discuss nilpotency of CL-algebras.

Suggested Citation

  • Pratulananda Das & Ripan Saha, 2020. "On Leibniz Algebras Whose Centralizers Are Ideals," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1555-1571, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0481-x
    DOI: 10.1007/s13226-020-0481-x
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    References listed on IDEAS

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    1. Somayeh Saffarnia & Mohammad Reza R. Moghaddam & Mohammad Amin Rostamyari, 2018. "Centralizers in Lie Algebras," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(1), pages 39-49, March.
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