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proper ideal (Definition)

Suppose $ R$ is a ring and $ I$ is an ideal of $ R$. We say that $ I$ is a proper ideal if $ I$ is not equal to $ R$.



"proper ideal" is owned by antizeus.
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See Also: maximal ideal
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Cross-references: ideal, ring
There are 9 references to this entry.

This is version 2 of proper ideal, born on 2001-10-20, modified 2002-10-25.
Object id is 415, canonical name is ProperIdeal.
Accessed 4201 times total.

Classification:
AMS MSC: 16D25 (Associative rings and algebras :: Modules, bimodules and ideals :: Ideals)
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