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On the structure of some one-generator braces

Part of: Groups and algebras in quantum theory Other nonassociative rings and algebras Hopf algebras, quantum groups and related topics

Published online by Cambridge University Press:  20 March 2024

L A Kurdachenko Open the ORCID record for L A Kurdachenko [Opens in a new window]  and
I Ya. Subbotin Open the ORCID record for I Ya. Subbotin [Opens in a new window]
L A Kurdachenko
Affiliation:
Department of Algebra, Dnipro National University, Dnipro 10, Ukraine (lkurdachenko@i.ua)
I Ya. Subbotin
Affiliation:
Department of Mathematics, National University, Los Angeles, CA, USA (isubboti@nu.edu)
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Abstract

We describe the one-generator braces A satisfying the condition $A^3 = \langle 0 \rangle$.

Keywords

left braceone-generator bracenilpotent brace

MSC classification

Primary: 17D99: None of the above, but in this section
Secondary: 16T25: Yang-Baxter equations 81R50: Quantum groups and related algebraic methods

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 67 , Issue 2 , May 2024 , pp. 566 - 576
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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