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Principal ideal ring

Noun

Definitions

1.NounA commutative ring in which every ideal is a principal ideal.
2.NounA noncommutative ring in which every left ideal is a principal ideal and so is every right ideal.

Synonyms

principal ideal domainprincipal idealprimary ideallocal ringprime ringprime idealidealsimple ringfactor idealmaximal idealradical idealright ideal
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