Author(s): Samuel Amador dos Santos Quirino
Date: 2019
Persistent ID: http://hdl.handle.net/1843/EABA-AQXL4B
Origin: Oasisbr
Subject(s): x; Matemática; x; x; Matemática; Matemática
Document details
Path coalgebra as a right adjoint functor
Description
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.
Document Type
Master thesis
Language English
Language English
