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nilpotent ideal (Definition)

A left (right) ideal $ I$ of a ring $ R$ is a nilpotent ideal if $ I^n = 0$ for some positive integer $ n$. Here $ I^n$ denotes a product of ideals - $ I \cdot I \cdots I$.



"nilpotent ideal" is owned by antizeus.
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Cross-references: product of ideals, integer, positive, ring, ideal, right
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This is version 2 of nilpotent ideal, born on 2001-11-23, modified 2002-10-25.
Object id is 994, canonical name is NilpotentIdeal.
Accessed 2075 times total.

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