Projects per year
Organization profile
Organisation profile
The research unit Algebra develops research on ring theory, groups and semigroups. This includes research on the algebraic structure of important classes of rings and semigroups, such as, group and semigroup rings, lineair groups and submonoids of polycyclic-by-finite groups. The main goals include the description of the unit group of integral group rings, the isomorphism problem of group rings, the characterisation of Noetherian semigroup algebras, the determination of prime ideals of such algebras and also to determine when these are maximal orders.
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Network
Profiles
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Ana Agore
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics - Academic
- Mathematics-TW - Academic
- Algebra
Person: Researcher, Guest professor
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Philippe Cara
- Vrije Universiteit Brussel
- Algebra and Analysis
- Mathematics - Academic
- Mathematics-TW - Academic
- Algebra
Person: Researcher, Professor
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OZR3453: Research Council: backup mandate Ann Kiefer - From Actions on Metric Spaces towards Units of Arithmetic Lattices
1/10/19 → 30/09/21
Project: Fundamental
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FWOTM921: Solutions of the Yang-Baxter equation and associated algebraic structures
1/10/18 → 30/09/20
Project: Fundamental
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OZR3603: Bilateral cooperation within the framework of a joint doctoral project: benchfee for joint PhD VUB - ULB, HERNANDEZ LUCAS Lisa
3/01/18 → 2/01/22
Project: Fundamental
Research output
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A dichotomy for integral group rings via higher modular groups as amalgamated products
Bächle, A., Janssens, G., Jespers, E., Kiefer, A. & Temmerman, D., 15 Aug 2022, In : Journal of Algebra. 604, p. 185-223 39 p.Research output: Contribution to journal › Article
Open Access -
Codimension Growth of Lie algebras with a generalized action
Janssens, G., 14 Apr 2022, In : Proceedings of the American Mathematical Society. 150, 7, p. 2741-2754 14 p.Research output: Contribution to journal › Article
Open Access -
Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields
Adriaensen, S., 15 Jun 2022, In : Linear Algebra and its Applications. 643, p. 1-38 38 p.Research output: Contribution to journal › Article
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Abelianization and fixed point properties of linear groups and units in integral group rings
Bächle, A., Jespers, E., Janssens, G., Kiefer, A. & Temmerman, D., 14 Jan 2021, (Accepted/In press) In : Mathematische Nachrichten. 47 p.Research output: Contribution to journal › Article
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A Larson-Sweedler theorem for Hopf V-categories
Fieremans, T., Buckley, M., Vasilakopoulou, C. & Vercruysse, J., 6 Jan 2021, In : Advances in Mathematics. 376, 64 p., 107456.Research output: Contribution to journal › Article
3 Citations (Scopus)
Activities
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Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and related associative structures
Charlotte Verwimp (Speaker)5 Jan 2022Activity: Talk or presentation › Talk or presentation at a conference
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Skew lattices and set-theoretic solutions of the Yang-Baxter equation
Charlotte Verwimp (Speaker)22 Jun 2021Activity: Talk or presentation › Talk or presentation at a conference
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Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields
Sam Adriaensen (Speaker)5 Oct 2021Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Do maximal arcs exist as multisets in the projective plane?
Sam Adriaensen (Speaker)12 Feb 2021Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Small weight codewords in projective geometric codes
Sam Adriaensen (Speaker)7 Apr 2021Activity: Talk or presentation › Talk at an external academic organisation