Central Derivations, Centroids and Skew-Symmetric Bi-derivations of Leibniz (n-)Algebras
Abstract We study the conditions under which the well-known forgetful and so-called Daletskii–Takhtajan’s functors between the categories of Leibniz and Leibniz n -algebras preserve central derivations and centroids. On the other hand, we introduce and study skew-symmetric bi-derivations and commuting linear maps of Leibniz algebras, and under appropriate conditions, we relate them to centroids.
Authors
- J. M. Casas (ORCID: https://orcid.org/0000-0002-6556-6131)
- M. Ladra (ORCID: https://orcid.org/0000-0002-0543-4508)
- Emzar Khmaladze (ORCID: https://orcid.org/0000-0001-9492-982X)
Institutions
- Tbilisi State University (GE)
- Georgian Technical University (GE)
- Universidade de Santiago de Compostela (ES)
- Universidade de Vigo (ES)
Publication Details
- Journal
- Bulletin of the Brazilian Mathematical Society New Series
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1007/s00574-025-00449-4
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 5.38
Funders
- National Science Foundation
- Shota Rustaveli National Science Foundation
- Universidade de Vigo
- Xunta de Galicia
- Universidade de Santiago de Compostela
- Agencia Estatal de Investigación