📁Representations of quivers, commutative algebra, category theory, homological algebra

Lattice constructions for path algebras over commutative rings

Supervisor: Jorge Vitória

Description

Path algebras over commutative rings are rings that provide an interesting interplay between the combinatorial aspects of finite-dimensional algebras and the topological aspects of commutative algebras. This combination of features allows for the construction of some interesting lattices that contain information on the category of modules over such a path algebra. This project aims at exploring these from a lattice-theoretic point of view.