Commutative augmented algebras with two vanishing homology modules (Q1804658)
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scientific article; zbMATH DE number 755383
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutative augmented algebras with two vanishing homology modules |
scientific article; zbMATH DE number 755383 |
Statements
Commutative augmented algebras with two vanishing homology modules (English)
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15 May 1995
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The author proves: Let \(A\) be a ring and \(B\) a Noetherian augmented \(A\)- algebra with augmentation ideal \(I\). If \(\text{Tor}^B_i (A,A) = 0 = \text{Tor}^B_j (A,A)\) for some positive even integer \(i\) and some positive odd integer \(j\), then \(I\) is locally generated by a regular sequence.
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vanishing homology
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regular sequence
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0.9034512
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0.89526856
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0.89233017
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0.89023435
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0.88678426
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0.88035893
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