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Principal ideal ring
Noun
Definitions
1.
Noun
A commutative ring in which every ideal is a principal ideal.
2.
Noun
A noncommutative ring in which every left ideal is a principal ideal and so is every right ideal.
Synonyms
principal ideal domain
principal ideal
primary ideal
local ring
prime ring
prime ideal
ideal
simple ring
factor ideal
maximal ideal
radical ideal
right ideal
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