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minimal prime ideal
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(Definition)
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A prime ideal $P$ of a ring $R$ is called a minimal prime ideal if it does not properly contain any other prime ideal of $R$ .
If $R$ is a prime ring, then the zero ideal is a prime ideal, and is thus the unique minimal prime ideal of $R$ .
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"minimal prime ideal" is owned by antizeus.
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Cross-references: zero ideal, prime ring, contain, ring, prime ideal
There is 1 reference to this entry.
This is version 2 of minimal prime ideal, born on 2001-11-23, modified 2003-09-20.
Object id is 989, canonical name is MinimalPrimeIdeal.
Accessed 4163 times total.
Classification:
| AMS MSC: | 16D80 (Associative rings and algebras :: Modules, bimodules and ideals :: Other classes of modules and ideals) |
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Pending Errata and Addenda
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