On presented dimensions of modules and rings. (Q978985)
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scientific article; zbMATH DE number 5726437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On presented dimensions of modules and rings. |
scientific article; zbMATH DE number 5726437 |
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On presented dimensions of modules and rings. (English)
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25 June 2010
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Summary: We define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right global dimension of a ring. We also make a comparison of the right global dimension, the weak global dimension, and the presented dimension and divide rings into four classes according to these dimensions.
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presented dimensions
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presentations
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projective dimension
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global dimensions
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