8 citations · 41 across the 24 of their papers we have counts for
30 papers
Cosyzygy modules
Petter Andreas Bergh, David A. Jorgensen, Peder Thompson
We characterize all first cosyzygy modules of a given finitely generated module over a local ring. We do this by introducing the notion of a canonical cosyzygy module, and showing…
Dimension and depth inequalities over complete intersections
Petter Andreas Bergh, David A. Jorgensen, Peder Thompson
For a pair of finitely generated modules and over a codimension complete intersection ring with finite, we pay special attention to the inequali…
Categorical matrix factorizations
Petter Andreas Bergh, David A. Jorgensen
In this paper we give a purely categorical construction of d-fold matrix factorizations of a natural transformation, for any even integer d. This recovers the classical definition…
The homotopy Lie algebra of a Tor-independent tensor product
Luigi Ferraro, Mohsen Gheibi, David A. Jorgensen +2
In this article we investigate a pair of surjective local ring maps and their relation to the canonical projection , where …
Asymptotic behavior of Ext for pairs of modules of large complexity over graded complete intersections
David A. Jorgensen, Liana M. Şega, Peder Thompson
Let and be finitely generated graded modules over a graded complete intersection such that has finite length for all . We show tha…
Quasi-projective dimension
Mohsen Gheibi, David A. Jorgensen, Ryo Takahashi
In this paper, we introduce a new homological invariant called quasi-projective dimension, which is a generalization of projective dimension. We discuss various properties of quasi…