On Leibniz Algebras Whose Centralizers Are Ideals

Pratulananda Das () and Ripan Saha ()
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Pratulananda Das: Jadavpur University
Ripan Saha: Raiganj University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1555-1571

Abstract: 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.

Keywords: Leibniz algebra; centralizer; CL-algebra; nilpotent Leibniz algebra; group action; 17A32; 17A30; 17B30 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0481-x

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