Let A be the ring obtained by localizing the polynomial ring κ[X, Y, Z, W] over a field κ at the maximal ideal (X, Y, Z, W) and modulo the ideal (XW - YZ). Let be the ideal of A generated by X and Y. We study the module structure of a minimal injective resolution of A/ in detail using local cohomology. Applications include the description of [image omitted], where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of [image omitted].
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