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 polycyclicbyfinite 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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Profiles

Ana Agore
 Vrije Universiteit Brussel
 Algebra and Analysis
 Mathematics  Academic
 MathematicsTW  Academic
 Algebra
Person: Researcher, Guest professor

Philippe Cara
 Vrije Universiteit Brussel
 Algebra and Analysis
 Mathematics  Academic
 MathematicsTW  Academic
 Algebra
Person: Researcher, Professor


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

FWOTM921: Solutions of the YangBaxter equation and associated algebraic structures
1/10/18 → 30/09/20
Project: Fundamental

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

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. 185223 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. 27412754 14 p.Research output: Contribution to journal › Article
Open Access 
ErdősKoRado theorems for ovoidal circle geometries and polynomials over finite fields
Adriaensen, S., 15 Jun 2022, In : Linear Algebra and its Applications. 643, p. 138 38 p.Research output: Contribution to journal › Article

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

A LarsonSweedler theorem for Hopf Vcategories
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

Left nondegenerate settheoretic solutions of the YangBaxter equation and related associative structures
Charlotte Verwimp (Speaker)5 Jan 2022Activity: Talk or presentation › Talk or presentation at a conference

Skew lattices and settheoretic solutions of the YangBaxter equation
Charlotte Verwimp (Speaker)22 Jun 2021Activity: Talk or presentation › Talk or presentation at a conference

ErdősKoRado 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

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

Small weight codewords in projective geometric codes
Sam Adriaensen (Speaker)7 Apr 2021Activity: Talk or presentation › Talk at an external academic organisation