W. Moore

activity

20072019

most citedCohomology of Fiber Products of Local Rings

1 citations · 1 across the 3 of their papers we have counts for

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math.AC2018

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.AC2007★ 1 cited

Cohomology of Fiber Products of Local Rings

W. Frank Moore

Let $S$ and $T$ be local rings with common residue field $k$ , let $R$ be the fiber product $S \times_{k} T$ , and let $M$ be an $S$ -module. The Poincaré series $P_{M}^{R}$ of $M$ has been…