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
 Computational and Applied Mathematics Programme
 Mathematics  Academic
 MathematicsTW  Academic
 Algebra
Person: Researcher, Professor

Isar Goyvaerts
Person: Researcher
Projects

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

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

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

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. 56 p.Research output: Contribution to journal › Article

A LarsonSweedler theorem for Hopf 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

Every finite abelian group is a subgroup of the additive group of a finite simple left brace
Cedo, F., Okninski, J. & Jespers, E., Jan 2021, In : Journal of Pure and Applied Algebra. 225, 1, 10 p., 106476.Research output: Contribution to journal › Article
1 Citation (Scopus) 
Galois corings and groupoids acting partially on algebras
Caenepeel, S. & Fieremans, T., Jan 2021, In : Journal of Algebra and Its Applications. 20, 1, 19 p., 2140003.Research output: Contribution to journal › Article

Nilpotent decomposition in integral group rings
Jespers, E. & Sun, WL., 2021, In : Journal of Algebra. 575, p. 127158 31 p.Research output: Contribution to journal › Article
Activities

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

Finite Fields and Their Applications (Journal)
Geoffrey Janssens (Peer reviewer)2021 → …Activity: Publication peerreview and editorial work › Publication peerreview

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

Settheoretic solutions of the YangBaxter equation and associated algebraic structures
Charlotte Verwimp (Speaker)18 Dec 2020Activity: Talk or presentation › Talk at an external academic organisation

Ofir Schnabel
Geoffrey Janssens (Host)3 Feb 2020 → 10 Feb 2020Activity: Hosting a visitor › Hosting an academic visitor