In 2005, the second author and Todorov introduced an upper bound on the finitistic
dimension of an Artin algebra, now known as the ϕ ϕ-dimension. The ϕ ϕ-dimension …

The magnitude for algebras is a generalization of the Euler characteristic. We investigate the
magnitude for Nakayama algebras. Using Ringel's resolution quiver, the existence and the …

In this thesis, we discuss relationship between resolution quivers of cyclic Nakayama
algebra Λ and the associated algebra ε (Λ) defined by E. Sen. We will show that if Λ is cyclic …