Definitions from Wiktionary (principal ideal ring)
▸ noun: (algebra, ring theory) A commutative ring in which every ideal is a principal ideal.
▸ noun: (algebra, ring theory) A noncommutative ring in which every left ideal is a principal ideal and so is every right ideal.
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▸ noun: (algebra, ring theory) A commutative ring in which every ideal is a principal ideal.
▸ noun: (algebra, ring theory) A noncommutative ring in which every left ideal is a principal ideal and so is every right ideal.
Similar:
principal ideal domain,
principal ideal,
primary ideal,
local ring,
prime ring,
prime ideal,
ideal,
simple ring,
factor ideal,
maximal ideal,
more...
Opposite:
▸ Words similar to principal ideal ring
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▸ Wikipedia articles (New!)
▸ Words that often appear near principal ideal ring
▸ Rhymes of principal ideal ring
▸ Invented words related to principal ideal ring