On the cohomology of ring extensions (Q810611)
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scientific article; zbMATH DE number 4214213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cohomology of ring extensions |
scientific article; zbMATH DE number 4214213 |
Statements
On the cohomology of ring extensions (English)
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1991
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Here the author is primarily concerned with the relativized cohomology theory of ring extensions as initiated by G. Hochschild. The approach chosen here heavily emphasizes the role of locally nilpotent operators. Various vanishing theorems for extension functors are obtained. Applications to the cohomology theory of modular Lie algebras and ring theory are illustrated.
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Frobenius extension
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cohomology
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ring extensions
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locally nilpotent operators
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vanishing theorems
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extension functors
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modular Lie algebras
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