Produit tensoriel et complexe cotangent. (Tensor product and cotangent complex) (Q921061)
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scientific article; zbMATH DE number 4165028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Produit tensoriel et complexe cotangent. (Tensor product and cotangent complex) |
scientific article; zbMATH DE number 4165028 |
Statements
Produit tensoriel et complexe cotangent. (Tensor product and cotangent complex) (English)
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1990
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The author defines and studies homology modules \(H_ n(A,B,C,W)\) defined for two commutative A-algebra B and C and a \(B\otimes AC\)-module W. This new module \(H_ n(A,B,C,W)\) is related to the classical \(H_ n(A,B,W)\) and \(H_ n(C,D,W)\) [the author, ``Homologie des algèbres commutatives'' (1974; Zbl 0284.18009)] by a long exact sequence. For \(small\quad n\) the new modules \(H_ n(A,B,C,W)\) are explicitly computed.
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cotangent complex
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André-Quillen homology
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homology modules
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