Detalhes do Documento

Path coalgebra as a right adjoint functor

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


Descrição

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.

Tipo de Documento Dissertação de mestrado
Idioma Inglês
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