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Rings that are almost
Gorenstein
Craig Huneke and Adela Vraciu |
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Vol. 225 (2006), No. 1, 85–102
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Abstract |
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We introduce classes of rings that are close to being Gorenstein and prove they arise naturally as specializations of rings of countable CM type. We study these rings in detail and, inter alia, generalize an old result of Teter characterizing Artinian rings that are Gorenstein rings modulo their socle. |
Keywords
Gorenstein rings, countable Cohen–Macaulay type, canonical
module
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Mathematical Subject Classification 2000
Primary: 13H10
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Milestones
Received: 24 August 2004
Accepted: 10 August 2005
Published: 1 May 2006
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Authors |
| Craig Huneke | |
| Department of Mathematics University of Kansas Lawrence, KS 66045 United States |
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| Adela Vraciu | |
| Department of Mathematics 1523 Greene Street University of South Carolina Columbia, SC 29208 United States |
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