Leibniz rings: some basic and structural results

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-24
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Leibniz rings: some basic and structural results

ArXiv.org
Geochemistry and Geologic Mapping
article

Leibniz rings: some basic and structural results

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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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 64%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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Leibniz rings: some basic and structural results · ArXiv.org (2025) | TGRS Research Map | TGRS