Actions and representations of g-digroups
Abstract We study g-digroup actions by proving some results that are well known in group actions, for example: the orbit stabilizer theorem, the class equation, Burnside’s formula, and we relate g -digroup actions with trioids. We introduce the definition of a representation of a g -digroup into dialgebras and establish a strong connection with g -digroup action, like in the group case.
Authors
- Raúl Velásquez (ORCID: https://orcid.org/0000-0003-0374-1704)
- José Gregorio Rodríguez (ORCID: https://orcid.org/0000-0002-3525-7418)
- Olga Patricia Salazar-Díaz (ORCID: https://orcid.org/0000-0001-5417-408X)
- Isaías David Marín-Gaviria
Institutions
- Universidad de Antioquia (CO)
- Universidad Nacional de Colombia (CO)
Publication Details
- Journal
- Semigroup Forum
- Published
- 2024-12-04
- DOI
- https://doi.org/10.1007/s00233-024-10486-y
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 1.27
Funders
- Universidad de Antioquia