We study periodicity and twisted periodicity of the trivial extension algebra $ T (A) $ of a finite-
dimensional algebra $ A $. Our main results show that (twisted) periodicity of $ T (A) $ is …

We prove that a virtually periodic object in an abelian category gives rise to a non-vanishing
result on certain Hom groups in the singularity category. Consequently, for any artin algebra …

We study the τ-complexity of modules over cluster tilted algebras where τ is the Auslander–
Reiten translate. We prove that modules over the cluster tilted algebra Ĉ of type H all have …

We give a presentation of the theory of support varieties for finite dimensional algebras A
using the Hochschild cohomology ring. Our presentation is especially focused on the finite …

Apresentamos neste trabalho uma definição de complexidade na categoria derivada de
complexos (limitados superiormente) de módulos sobre uma k-álgebra de dimensão finita …

COMPLEXITY OVER FINITE-DIMENSIONAL ALGEBRAS Page 1 COMPLEXITY OVER
FINITE-DIMENSIONAL ALGEBRAS By MARJU PURIN B. Sc., Summa Cum Laude, Berry …