P. A. Bergh

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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.AC2025

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…