18 citations · 26 across the 8 of their papers we have counts for
9 papers
The uniform dimension of a monoid with applications to graph algebras
Luiz Gustavo Cordeiro, Daniel Gonçalves, Roozbeh Hazrat
We adapt Goldie's concept of uniform dimensions from module theory over rings to -monoids. A -monoid is said to have uniform dimension if is the largest number of…
Williams' Conjecture holds for meteor graphs
L. G. Cordeiro, E. Gillaspy, D. Goncalves +1
A meteor graph is a connected graph with no sources and sinks consisting of two disjoint cycles and the paths connecting these cycles. We prove that two meteor graphs are shift equ…
The talented monoid of a directed graph with applications to graph algebras
Luiz Gustavo Cordeiro, Daniel Gonçalves, Roozbeh Hazrat
It is a conjecture that for the class of Leavitt path algebras associated to finite directed graphs, their graded Grothendieck groups are a complete invariant.…
Sectional algebras of semigroupoid bundles
Luiz Gustavo Cordeiro
In this article we use semigroupoids to describe a notion of algebraic bundles, mostly motivated by Fell (-algebraic) bundles, and the sectional algebras associated to them. A…
Étale inverse semigroupoids - the fundamentals
Luiz Gustavo Cordeiro
In this article we will study semigroupoids, and more specifically inverse semigroupoids. These are a common generalization to both inverse semigroups and groupoids, and provide a…
The dynamics of partial inverse semigroup actions
Luiz Gustavo Cordeiro, Viviane Beuter
Given an inverse semigroup endowed with a partial action on a topological space , we construct a groupoid of germs in a manner similar to Exel's groupoid of ger…