On Dextral Symmetric Algebra
Rings and Algebras
2024-06-12 v2
Abstract
We define the notion of dextral symmetric algebras (not necessarily associative), motivated by the idea of symmetric rings. We derive a complete classification of dextral symmetric algebras of Leavitt path algebras, and right Leibniz algebras up to dimension . We also obtain that a finite-dimensional dextral symmetric right Leibniz algebra is solvable if and only if it satisfies a weaker notion of nilpotency.
Cite
@article{arxiv.2406.04013,
title = {On Dextral Symmetric Algebra},
author = {Dimpy M. Dutta and Shanborlang Bynnud},
journal= {arXiv preprint arXiv:2406.04013},
year = {2024}
}