On the Structure of Some One-generator Braces
Leonid A. Kurdachenko, Igor Ya. Subbotin
TL;DR
This paper investigates the structure of specific one-generator braces where the cube of the brace is trivial, providing insights into their algebraic properties and classification.
Contribution
It characterizes the structure of one-generator braces with the condition that their cube is trivial, a novel focus in brace theory.
Findings
Identification of structural properties of these braces
Classification results for braces with A^3 = 0
Insights into algebraic behavior of one-generator braces
Abstract
We describe the one-generator braces A satisfying the condition .
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Nonlinear Waves and Solitons