W. Frank Moore

most citedConnected sums of Gorenstein local rings

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math.AC2024

Trimming Five Generated Gorenstein Ideals

Luigi Ferraro, W. Frank Moore

Let $(R, m, k)$ be a regular local ring of dimension 3. Let $I$ be a Gorenstein ideal of $R$ of grade 3. It follows from a result of Buchsbaum and Eisenbud that there…

math.AC2010★ 2 cited

Connected sums of Gorenstein local rings

H. Ananthnarayan, Luchezar L. Avramov, W. Frank Moore

A new construction of rings is introduced, studied, and applied. Given surjective homomorphisms $R \to T \leftarrow S$ of local rings, and ideals in $R$ and $S$ that are isomorphic to som…