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zero ideal (Definition)

In any ring, the set consisting only of the zero element (i.e. the additive identity) is an ideal of the left, right, and two-sided varieties. It is the smallest ideal in any ring.



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Cross-references: varieties, right, ideal, identity, additive, zero element, ring
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This is version 2 of zero ideal, born on 2001-10-20, modified 2002-10-25.
Object id is 412, canonical name is ZeroIdeal.
Accessed 3881 times total.

Classification:
AMS MSC16D25 (Associative rings and algebras :: Modules, bimodules and ideals :: Ideals)

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