We provide a characterization of the finite dimensionality vector spaces in terms right-sided invertibility linear operators on them.

In this paper, we present sufficient conditions to guarantee the invertibility of rational circulant matrices with any given size. These consist linear combinations ...

The invertibility hypothesis for a monoidal model category S asks that localizing an S-enriched category with respect to an equivalence results in an weakly equivalent enriched category. This is the most technical among the axioms for S to be an excellent model category in the sense of Lurie, who showed that the category CatS of S-enriched categories then has a model structure with characteriza...