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 $\hat{I}“$-monoids. A $\hat{I}“$-monoid $M$ is said to have uniform dimension $n$ if $n$ is the largest number…