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Cohen–Macaulay
test ideals over rings of finite and countable Cohen–Macaulay
type
Julian Benali, Shrunal Pothagoni and Rebecca R.G.
Vol. 14 (2021), No. 3, 413–430
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Abstract |
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R.G. and Pérez proved that under certain conditions the test ideal of a module closure agrees with the trace ideal of the module closure. We use this fact to compute the test ideals of various rings with respect to the closures coming from their indecomposable maximal Cohen–Macaulay modules. We also give an easier way to compute the test ideal of a hypersurface ring in three variables coming from a module with a particular type of matrix factorization. |
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Keywords
maximal Cohen–Macaulay modules, trace ideals, test ideals,
ADE singularities
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Mathematical Subject Classification
Primary: 13C14, 13P99
Secondary: 13F70, 13H10
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Milestones
Received: 17 July 2020
Revised: 15 February 2021
Accepted: 23 February 2021
Published: 17 July 2021
Communicated by Scott T. Chapman
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Authors |
| Julian Benali | |
| Department of Mathematical
Sciences George Mason University Fairfax, VA United States |
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| Shrunal Pothagoni | |
| Department of Mathematical
Sciences George Mason University Fairfax, VA United States |
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| Rebecca R.G. | |
| Department of Mathematical
Sciences George Mason University Fairfax, VA United States |
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