Hopf Q-braces structures on rank one pointed Hopf algebras
In this paper we determine all the Hopf [Formula: see text]-brace structures on rank one pointed Hopf algebras and compute the socle of each one of them. We also identify which among them are Hopf skew-braces. Then we determine when two Hopf [Formula: see text]-brace structures on rank one pointed Hopf algebras are isomorphic, and, finally, we compute all the weak braiding operators on these Hopf algebras.
Authors
- Juan J. Guccione (ORCID: https://orcid.org/0000-0002-3403-2348)
- Jorge A. Guccione (ORCID: https://orcid.org/0000-0001-8838-3533)
- Christian Valqui (ORCID: https://orcid.org/0000-0003-2716-3830)
Institutions
- Consejo Nacional de Investigaciones Científicas y Técnicas (AR)
- Universidad de Buenos Aires (AR)
- Fundación Ciencias Exactas y Naturales (AR)
- Pontificia Universidad Católica del Perú (PE)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-02-05
- DOI
- https://doi.org/10.1142/s0219498826501495
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Consejo Nacional de Investigaciones Científicas y Técnicas
- Pontificia Universidad Católica del Perú