3 papers
math.RT2020
The finitistic dimension of an Artin algebra with radical square zero
Vincent Gélinas
We investigate the inequality between the finitistic dimension and the delooping level of an Artin algebra , and whether equality…
math.RT2020
The depth, the delooping level and the finitistic dimension
Vincent Gélinas
We investigate two invariants of Noetherian semiperfect rings, namely the depth and a new invariant we call the "delooping level". These give lower and upper bounds for the finitis…
math.RT2017
Betti tables for indecomposable matrix factorizations of
Vincent Gélinas
We classify the Betti tables of indecomposable graded matrix factorizations over the simple elliptic singularity by making use of an associated weighted projec…