Leibniz rings: some basic and structural results
Rings and Algebras
2025-08-26 v1 Group Theory
Abstract
In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtained illustrate a significant difference between the classes of Leibniz rings and Lie rings.
Keywords
Cite
@article{arxiv.2508.17319,
title = {Leibniz rings: some basic and structural results},
author = {L. A. Kurdachenko and O. O. Pypka and M. M. Semko},
journal= {arXiv preprint arXiv:2508.17319},
year = {2025}
}