On Leibniz algebras whose centralizers are ideals
Rings and Algebras
2019-10-04 v2
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.
Cite
@article{arxiv.1903.09932,
title = {On Leibniz algebras whose centralizers are ideals},
author = {Pratulananda Das and Ripan Saha},
journal= {arXiv preprint arXiv:1903.09932},
year = {2019}
}
Comments
12 pages, comments are welcome