The depth, the delooping level and the finitistic dimension

Delooping Level of Nakayama algebras

“…Let A be an artin algebra. The delooping level of finitely generated A-module M is defined by Gelinas in [Gel20] as:…”

“…An open problem in representation theory of artin algebras is the finitistic dimension conjecture which states that the finitistic dimension of A is finite. Relationship between the finitistic dimension and the delooping level is: fin.dim A op ≤ del A which makes the delooping level an interesting homological measure, where A op is opposite algebra [Gel20].…”