When are induction and coinduction functors isomorphic? (Q1344484)
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scientific article; zbMATH DE number 722053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When are induction and coinduction functors isomorphic? |
scientific article; zbMATH DE number 722053 |
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When are induction and coinduction functors isomorphic? (English)
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30 March 1995
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It is well known that if \(R\) is a strongly graded ring, then the induced and coinduced functors associated to \(R\) are isomorphic. The paper investigates how close is a graded ring for which the two functors are isomorphic to being strongly graded. The problem of when the two functors are isomorphic is also studied in the nongraded case, as well as in the general case of Grothendieck categories.
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isomorphic functors
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Grothendieck categories
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