principal ideal ring

From Wiktionary, the free dictionary
Jump to navigation Jump to search

English

[edit]
English Wikipedia has an article on:
Wikipedia

Noun

[edit]

principal ideal ring (plural principal ideal rings)

  1. (algebra, ring theory) A commutative ring in which every ideal is a principal ideal.
  2. (algebra, ring theory) A noncommutative ring in which every left ideal is a principal ideal and so is every right ideal.

Hyponyms

[edit]
Retrieved from "https://en.wiktionary.org/w/index.php?title=principal_ideal_ring&oldid=43862111"