Word.ws English Dictionary

primary ideals

primary ideals is the plural of primary ideal.

Meaning of primary ideal

Noun

primary ideal (plural primary ideals)

  1. (ring theory) Given a commutative ring R, any ideal I such that for any a,b ∈ R, if ab ∈ I then either b ∈ I or aⁿ ∈ I for some integer n > 0.
    • The prime and primary ideals play roles which are (very roughly) similar to those played by prime numbers and by prime.power numbers in elementary arithmetic.1953, D. G. Northcott, Ideal Theory, Cambridge University Press, page 10

Questions about primary ideals

What is primary ideals the plural of?
Primary ideals is the plural of primary ideal.

Words near primary ideals in the dictionary

  1. primary forest
  2. primary goods
  3. primary healthcare
  4. primary hypothermia
  5. primary ideal
  6. primary ideals
  7. primary immunodeficiencies
  8. primary immunodeficiency
  9. primary industries
  10. primary industry
  11. primary intention

Source and license

Adapted from Wiktionary: primary ideals (page history and authors); primary ideal (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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