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Arne Van Antwerpen
Arne Van Antwerpen
Post-Doc Algebra, Vrije Universiteit Brussel
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Factorizations of skew braces
E Jespers, Ł Kubat, A Van Antwerpen, L Vendramin
Mathematische Annalen 375, 1649-1663, 2019
362019
Left semi-braces and solutions of the Yang–Baxter equation
E Jespers, A Van Antwerpen
Forum Mathematicum 31 (1), 241-263, 2019
302019
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang–Baxter equation
E Jespers, A Van Antwerpen, L Vendramin
Advances in Mathematics 385, 107767, 2021
282021
The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation
E Jespers, Ł Kubat, A Van Antwerpen
Transactions of the American Mathematical Society 372 (10), 7191-7223, 2019
262019
Nilpotency of skew braces and multipermutation solutions of the Yang–Baxter equation
E Jespers, A Van Antwerpen, L Vendramin
Communications in Contemporary Mathematics 25 (09), 2250064, 2023
172023
On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang–Baxter equation
F Cedo, E Jespers, A Van Antwerpen, C Verwimp
Journal of Pure and Applied Algebra 227 (2), 107194, 2023
142023
Coleman automorphisms of finite groups and their minimal normal subgroups
A Van Antwerpen
Journal of Pure and Applied Algebra 222 (11), 3379-3394, 2018
132018
Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses
I Colazzo, E Jespers, A Van Antwerpen, C Verwimp
Journal of Algebra 610, 409-462, 2022
92022
Corrigendum and addendum to “The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation”
E Jespers, Ł Kubat, A Van Antwerpen
Transactions of the American Mathematical Society 373 (6), 4517-4521, 2020
72020
The algebraic structure of left semi-trusses
I Colazzo, A Van Antwerpen
Journal of Pure and Applied Algebra 225 (2), 106467, 2021
62021
Finite idempotent set-theoretic solutions of the Yang–Baxter equation
I Colazzo, E Jespers, Ł Kubat, A Van Antwerpen, C Verwimp
International Mathematics Research Notices 2024 (7), 5458-5489, 2024
32024
Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation
I Colazzo, E Jespers, Ł Kubat, A Van Antwerpen
arXiv preprint arXiv:2305.06023, 2023
32023
Simple solutions of the Yang-Baxter equation
I Colazzo, E Jespers, Ł Kubat, A Van Antwerpen
arXiv preprint arXiv:2312.09687, 2023
2023
A common divisor graph for skew braces
S Properzi, A Van Antwerpen
arXiv preprint arXiv:2306.12415, 2023
2023
Finite idempotent set-theoretic solutions of the Yang–Baxter equation
E Jespers, I Colazzo, Ł Kubat, A Van Antwerpen
International Mathematics Research Notices, 1-32, 2023
2023
Factorizations of skew braces
L Kubat, A Van Antwerpen, E Jespers, L Vendramin
Mathematische Annalen 375 (3-4), 1649-1663, 2019
2019
ON THE YANG–BAXTER EQUATION AND ASSOCIATED ALGEBRAIC STRUCTURES
I Colazzo, A Van Antwerpen
arXiv preprint arXiv:1908.11744, 2019
2019
ANNIHILATOR NILPOTENCY OF SKEW BRACES WITH APPLICATIONS TO TORSION AND GENERATING SETS OF SKEW BRACES
A Van Antwerpen
CENTRALLY NILPOTENT SKEW BRACES
A Van Antwerpen
THE STRUCTURE MONOID AND ALGEBRA OF A NON-DEGENERATE SET-THEORETIC SOLUTION OF THE YANG–BAXTER EQUATION (CORRIGENDUM ET ADDENDUM)
E JESPERS, L KUBAT, A VAN ANTWERPEN
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Artikelen 1–20