Please use this identifier to cite or link to this item:
http://hdl.handle.net/1843/EABA-AQXL4B
Type: | Dissertação de Mestrado |
Title: | Path coalgebra as a right adjoint functor |
Authors: | Samuel Amador dos Santos Quirino |
First Advisor: | John William Macquarrie |
First Referee: | Kostiantyn Iusenko |
Second Referee: | Lucas Henrique Calixto |
Abstract: | x |
Abstract: | 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. |
Subject: | Matemática |
language: | Inglês |
Publisher: | Universidade Federal de Minas Gerais |
Publisher Initials: | UFMG |
Rights: | Acesso Aberto |
URI: | http://hdl.handle.net/1843/EABA-AQXL4B |
Issue Date: | 24-Feb-2017 |
Appears in Collections: | Dissertações de Mestrado |
Files in This Item:
File | Description | Size | Format | |
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dissertacao_samuelquirino.pdf | 548.66 kB | Adobe PDF | View/Open |
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