PlanetMath: minimal prime ideal

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minimal prime ideal

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A prime ideal of a ring is called a minimal prime ideal if it does not properly contain any other prime ideal of .

If is a prime ring, then the zero ideal is a prime ideal, and is thus the unique minimal prime ideal of .

"minimal prime ideal" is owned by antizeus.

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Cross-references: zero ideal, prime ring, contain, ring, prime ideal
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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 3251 times total.

Classification:

16D80 (Associative rings and algebras :: Modules, bimodules and ideals :: Other classes of modules and ideals)

Pending Errata and Addenda

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