On prime ideals in hereditary PI-rings (Q1103704)
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scientific article; zbMATH DE number 4053839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On prime ideals in hereditary PI-rings |
scientific article; zbMATH DE number 4053839 |
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On prime ideals in hereditary PI-rings (English)
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1988
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The main result of this paper is that a right hereditary P.I. ring has classical Krull dimension at most 1. This result is obtained by proving that a minimal prime P of a hereditary P.I. ring R is idempotent and R/P is a hereditary noetherian ring.
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right hereditary P.I. ring
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Krull dimension
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minimal prime
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hereditary noetherian ring
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