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Module Structure of an Injective Resolution
Authors:
C.-Y. Jean Chan - C.-Y. Jean Chan's current affiliation is Department of Mathematics, Purdue University, West Lafayette, IN, USA.a;
I.-Chiau Huang b
| Affiliations: | a Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas, USA |
| b Institute of Mathematics, Academia Sinica, Nankang, Taipei, Taiwan, Republic of China |
DOI:
10.1080/00927870701404770
Publication Frequency:
12 issues per year
Subject:
Fields & Rings;
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Abstract
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  , where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of  .
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| Keywords: Generalized fraction; Injective module; Injective resolution; Local cohomology; Yoneda algebra |
| AMS Subject Classification: Primary 13D45, 13D02; Secondary 13D07, 13D25 |
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