Autor(es): Samuel Amador dos Santos Quirino
Data: 2019
Identificador Persistente: http://hdl.handle.net/1843/EABA-AQXL4B
Origem: Oasisbr
Assunto(s): x; Matemática; x; x; Matemática; Matemática
Autor(es): Samuel Amador dos Santos Quirino
Data: 2019
Identificador Persistente: http://hdl.handle.net/1843/EABA-AQXL4B
Origem: Oasisbr
Assunto(s): x; Matemática; x; x; Matemática; Matemática
x
We define a certain variant of the category of quivers and construct thepath coalgebra as a functor, the main tool for this process being the universal property of cotensor coalgebras. Then we construct a functor from the category of pointed coalgebras to this category of quivers, based on the Gabriel quiver of pointed coalgebras. With a relation on the morphisms of the category of pointed coalgebras we obtain an adjunction between these two functors.