Author

Arne Van Antwerpen

Observed names: A. Van Antwerpen, Van Antwerpen, Arne

Institution: National University of Ireland, Maynooth

Observed institutions: Vrije Universiteit Brussel, National University of Ireland, Maynooth

ORCID: 0000-0001-7619-6298

Observed ORCID: 0000-0001-7619-6298

OpenAlex ID: A5087565364

Factorizations of skew braces

2019 · E. Jespers, Ł. Kubat, et al. · Mathematische Annalen · 34

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

2019 · Eric Jespers, Łukasz Kubat, et al. · Transactions of the American Mathematical Society · 27

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

2021 · E. Jespers, Ł. Kubat, et al. · Advances in Mathematics · 24

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

2018 · Eric Jespers, Arne Van Antwerpen · Forum Mathematicum · 24

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

2022 · E. Jespers, A. Van Antwerpen, et al. · Communications in Contemporary Mathematics · 23

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

2022 · F. Cedó, E. Jespers, et al. · Journal of Pure and Applied Algebra · 22

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

2022 · I. Colazzo, E. Jespers, et al. · Journal of Algebra · 15

Coleman automorphisms of finite groups and their minimal normal subgroups

2017 · Arne Van Antwerpen · Journal of Pure and Applied Algebra · 14

Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation

2023 · Ilaria Colazzo, Eric Jespers, et al. · International Mathematics Research Notices · 11

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Simple solutions of the Yang-Baxter equation

2023 · Colazzo, Ilaria, Jespers, Eric, et al. · arXiv (Cornell University) · 7

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

2019 · Eric Jespers, Łukasz Kubat, et al. · Transactions of the American Mathematical Society · 7

Bijective solutions to the Pentagon Equation

2026 · I. Colazzo, J. Okniński, et al. · Selecta Mathematica · 5

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Structure algebras of finite set-theoretic solutions of the Yang–Baxter equation

2026 · Ilaria Colazzo, Eric Jespers, et al. · Journal of Algebra · 5

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The algebraic structure of left semi-trusses

2020 · Ilaria Colazzo, Arne Van Antwerpen · Journal of Pure and Applied Algebra · 5

On the cabling of non-involutive set-theoretic solutions of the Yang–Baxter equation

2026 · I. Colazzo, A. Van Antwerpen · Journal of Algebra · 3

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Finiteness Conditions on Skew Braces and Solutions of the Yang–Baxter Equation

2026 · Rosa Cascella, Silvia Properzi, et al. · Mediterranean Journal of Mathematics · 2

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Free Skew Braces and Free Solutions of the Yang--Baxter Equation

2026 · Jespers, Eric, Letourmy, Thomas, et al. · arXiv (Cornell University) · 2

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Common divisor graphs for skew braces

2025 · Silvia Properzi, Arne Van Antwerpen · Journal of Pure and Applied Algebra · 2

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On the Yang-Baxter equation and associated algebraic structures

2019 · Ilaria Colazzo, Arne Van Antwerpen · arXiv (Cornell University)

Works count: 21

Citation count: 232

H-index: 9

I10-index: 9