Smooth algebras and vanishing of Hochschild homology (Q802674)
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scientific article; zbMATH DE number 4198152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth algebras and vanishing of Hochschild homology |
scientific article; zbMATH DE number 4198152 |
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Smooth algebras and vanishing of Hochschild homology (English)
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1990
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A homomorphism of commutative rings f: \(A\to B\) yields a \(B\otimes_ AB\)-module structure on B. The author bases on some properties of Hochschild homology and shows that f is regular if A is a Noetherian ring, B a flat Noetherian A-algebra and the flat dimension of B over \(B\otimes_ AB\) is finite. He generalizes his previous result [Manuscr. Math. 59, 491-498 (1987; Zbl 0643.13003)].
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regular homomorphism
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Hochschild homology
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flat dimension
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