Problems on skew left braces

Leandro Vendramin

doi:10.32037/agta-2019-003

Problems on skew left braces

Leandro Vendramin

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Onderzoeksoutput: Article › peer review

32 Citaten (Scopus)

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Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang–Baxter equation. If braces are replaced by skew braces, then one can use similar methods for studying not necessarily involutive solutions. Here we collect problems related to (skew) braces and set-theoretic solutions to the Yang-Baxter equation.

Originele taal-2	English
Pagina's (van-tot)	15-37
Aantal pagina's	23
Tijdschrift	Advances in Group Theory and Applications
Volume	7
DOI's	https://doi.org/10.32037/agta-2019-003
Status	Published - 1 jan. 2019

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abstract = "Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang–Baxter equation. If braces are replaced by skew braces, then one can use similar methods for studying not necessarily involutive solutions. Here we collect problems related to (skew) braces and set-theoretic solutions to the Yang-Baxter equation.",

keywords = "Brace, Circle algebra, Nil ring, Radical ring, Regular subgroup, Skew brace, Yang-Baxter equation",

author = "Leandro Vendramin",

year = "2019",

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AB - Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang–Baxter equation. If braces are replaced by skew braces, then one can use similar methods for studying not necessarily involutive solutions. Here we collect problems related to (skew) braces and set-theoretic solutions to the Yang-Baxter equation.

KW - Brace

KW - Circle algebra

KW - Nil ring

KW - Radical ring

KW - Regular subgroup

KW - Skew brace

KW - Yang-Baxter equation

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DO - 10.32037/agta-2019-003

M3 - Article

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JO - Advances in Group Theory and Applications

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ER -

Problems on skew left braces

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