On the structure of left braces satisfying the minimal condition for subbraces
We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as the left braces with Chernikov additive group. We also present an example of left braces satisfying the minimal condition for ideals, but that do not satisfy the minimal condition for subbraces.
Authors
- R. Esteban‐Romero (ORCID: https://orcid.org/0000-0002-2321-8139)
- V. Pérez-Calabuig (ORCID: https://orcid.org/0000-0003-4101-8656)
- Leonid A. Kurdachenko (ORCID: https://orcid.org/0000-0002-6368-7319)
- A. Ballester‐Bolinches (ORCID: https://orcid.org/0000-0002-2051-9075)
Institutions
- Universitat de València (ES)
- Oles Honchar Dnipro National University (UA)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2024-09-02
- DOI
- https://doi.org/10.1016/j.jalgebra.2024.08.011
- Citations
- 2
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.78
Funders
- Engineering and Physical Sciences Research Council