On the structure of some one-generator nilpotent braces
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin

TL;DR
This paper explores the structure of certain nilpotent left braces generated by a single element, providing insights into their algebraic properties and classifications.
Contribution
It offers a detailed structural analysis of one-generator nilpotent braces, which enhances understanding of their algebraic framework and potential applications.
Findings
Characterization of one-generator nilpotent braces
Classification results for these braces
Structural properties elucidated
Abstract
This article provides a detailed description of some nilpotent left braces generated by one element.
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Taxonomy
TopicsProtein Tyrosine Phosphatases
