P. A. Bergh

activity

20062026

most citedThe axioms for n-angulated categories

48 citations · 140 across the 46 of their papers we have counts for

collaborators

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18 papers · 1 filter

math.AC2026

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…

math.AC2023

Dimension and depth inequalities over complete intersections

Petter Andreas Bergh, David A. Jorgensen, Peder Thompson

For a pair of finitely generated modules $M$ and $N$ over a codimension $c$ complete intersection ring $R$ with $ℓ (M \otimes_{R} N)$ finite, we pay special attention to the inequali…

math.AC2019

Matrix factorizations for self-orthogonal categories of modules

Petter Andreas Bergh, Peder Thompson

For a commutative ring $S$ and self-orthogonal subcategory $C$ of $Mod (S)$ , we consider matrix factorizations whose modules belong to $C$ . Let $f \in S$ b…

math.AC2018★ 2 cited

A converse to a construction of Eisenbud-Shamash

Petter A. Bergh, David A. Jorgensen, W. Frank Moore

Let $(Q, n, k)$ be a commutative local Noetherian ring, $f_{1}, \dots, f_{c}$ a $Q$ -regular sequence in $n$ , and $R = Q / (f_{1}, \dots, f_{c})$ . Given a complex of finitely gen…

math.AC2016

Totally acyclic approximations

Petter A. Bergh, David A. Jorgensen, W. Frank Moore

Let $R$ be a commutative local ring. We study the subcategory of the homotopy category of $R$ -complexes consisting of the totally acyclic $R$ -complexes. In particular, in the conte…

math.AC2016

A generalized Dade's Lemma for local rings

Petter Andreas Bergh, David A. Jorgensen

We prove a generalized Dade's Lemma for quotients of local rings by ideals generated by regular sequences. That is, given a pair of finitely generated modules over such a ring with…