Module Structure of an Injective
نویسندگان
چکیده
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 − Y Z). Let p be the ideal of A generated by X and Y. We study the module structure of a minimal injective resolution of A/p in details using local cohomology. Applications include the description of Ext i A (M, A/p), where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of Ext * A (A/p, A/p).
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