Vrije Universiteit Brussel

Faculty of Sciences and Bioengineering Sciences

Department of Mathematics and Data Science

Pleinlaan 2,

1050 Brussels, Belgium

(+32) 2 629 3476

email: arne.van.antwerpen@vub.be

CV, Arxiv, MathSciNet, Google Scholar, ZbMath, Orcid

# Publications

## Preprints

- Finite idempotent set-theoretic solutions of the Yang-Baxter equation (w.I. Colazzo, E. Jespers, L. Kubat, C. Verwimp), Arxiv:2212.07361.

## Accepted for publication

- Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation (w. E.Jespers, L.Vendramin),
*Communications in Contemporary Mathematics*(2023).

## Published

- On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation (w. F.Cedó, E.Jespers, L.Kubat, C. Verwimp),
*Journal of Pure and Applied Algebra*227 (2) (2023): 107194. - Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses (w. I.Colazzo, E.Jespers, C.Verwimp),
*Journal of Algebra*610 (2022): 409-462. - Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation (w. E.Jespers, L.Kubat, L.Vendramin),
*Advances in Mathematics*385 (2021): 107767. - Corrigendum et addendum to The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation (w. E.Jespers, L.Kubat),
*Transactions of the American Mathematical Society*373 (6) (2020): 4517-4521. - The algebraic structure of left semi-trusses (w. I. Colazzo),
*Journal of Pure and Applied Algebra*225 (2) (2019): 106467. - Factorizations of skew braces (w. E. Jespers, L.Kubat and L. Vendramin,
*Mathematische Annalen*375 (3-4) (2019): 1649-1663. - The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang–Baxter equation (w. E. Jespers, L. Kubat),
*Transactions of the American Mathematical Society*372 (10) (2019): 7191-7223. - Left semi-braces and solutions of the Yang–Baxter equation (with E. Jespers),
*Forum Mathematicum*31 (1) (2018): 241-263. - Coleman Automorphisms of finite groups and their minimal normal subgroups,
*Journal of Pure and Applied Algebra*222 (11) (2018): 3379-3394.

# Collaborators

Leandro Vendramin, Eric Jespers, Łukasz Kubat, Ilaria Colazzo, Charlotte Verwimp, Ferran Cedó.