Year: 2024
Type: article
Abstract: The aim of this paper is to establish a correspondence between the categories given by the structures of racks and g-digroups, by defining three functors, denoted similarly to those in the case of rack-groups, $$Conj: \mathbf {g-dig}\rightarrow {\textbf {Rack}}$$ C o n j : g - dig → Rack , $$As: {\textbf {Rack}}\rightarrow \mathbf {g-dig}$$ A s : Rack → g - dig , and $$Inn: {\textbf {Rack}}\rightarrow \mathbf {g-dig}$$ I n n : Rack → g - dig . Additionally, we establish certain properties of these functors and prove, as in the case of rack-groups, that the functor As is left adjoint to the functor Conj.
Source: Ricerche di Matematica
Institutions: Universidad de Antioquia, Universidad Nacional de Colombia
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: Universidad Nacional de Colombia
OpenAlex ID: W4402633828