Research Explorer

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Researcher

Arne Van Antwerpen

Awards & Distinctions

11 Results

2023

Finite idempotent set-theoretic solutions of the Yang-Baxter equation

Ilaria ColazzoEric JespersŁukasz KubatArne Van AntwerpenCharlotte Verwimp

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation

Eric JespersArne Van AntwerpenL. Vendramin

A1 Journal Article in COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation

F. CedoEric JespersŁukasz KubatArne Van AntwerpenCharlotte Verwimp

A1 Journal Article in JOURNAL OF PURE AND APPLIED ALGEBRA

2022

Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses

IIlaria ColazzoEric JespersArne Van AntwerpenCharlotte Verwimp

A1 Journal Article in JOURNAL OF ALGEBRA

2021

Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation

Eric JespersŁukasz KubatArne Van AntwerpenL. Vendramin

A1 Journal Article in ADVANCES IN MATHEMATICS

The algebraic structure of left semi-trusses

Ilaria ColazzoArne Van Antwerpen

A1 Journal Article in JOURNAL OF PURE AND APPLIED ALGEBRA

2020

Corrigendum and addendum to "The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation"

Eric JespersŁukasz KubatArne Van Antwerpen

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

2019

Factorizations of skew braces

Eric JespersŁukasz KubatArne Van AntwerpenL. Vendramin

A1 Journal Article in MATHEMATISCHE ANNALEN

Left semi-braces and solutions of the Yang-Baxter equation

Eric JespersArne Van Antwerpen

A1 Journal Article in FORUM MATHEMATICUM

The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation

Eric JespersŁukasz KubatArne Van Antwerpen

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

2018

Coleman automorphisms of finite groups and their minimal normal subgroups

Arne Van Antwerpen

A1 Journal Article in JOURNAL OF PURE AND APPLIED ALGEBRA