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large ideals (Definition)

An ideal $ I$ of a ring $ R$ is called a large ideal if for every ideal $ J$ of $ R$ such that $ J\neq\{0\}$, $ I\cap J \neq\{0\}$



"large ideals" is owned by jocaps.
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equivalence for semiprime rings (Theorem) by jocaps
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Cross-references: ring, ideal
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This is version 4 of large ideals, born on 2006-01-03, modified 2006-11-05.
Object id is 7549, canonical name is LargeIdeal.
Accessed 1038 times total.

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