On Leibniz algebras whose centralizers are ideals

Pratulananda Das; Ripan Saha

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arXiv · 1903.09932

On Leibniz algebras whose centralizers are ideals

Pratulananda Das·Ripan Saha

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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.

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BibTeX RIS

Pratulananda Das, Ripan Saha. 2019-03-24. On Leibniz algebras whose centralizers are ideals. https://arxiv.org/abs/1903.09932

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