Word.ws English Dictionary

associated prime

associated prime noun: an ideal of R which is the annihilator of some prime submodule of M.

Noun

associated prime (plural associated primes)

  1. An ideal of R which is the annihilator of some prime submodule of M.
    1. (commutative algebra) If the ring R is commutative, equivalently: A prime ideal of R which is the annihilator of some element of M.

Forms of associated prime

pluralassociated primes

Questions about associated prime

What does associated prime mean?
Associated prime means an ideal of R which is the annihilator of some prime submodule of M.
What part of speech is associated prime?
Associated prime is a noun.
What is the plural of associated prime?
The plural of associated prime is associated primes.

Words near associated prime in the dictionary

  1. associate professors
  2. associate's
  3. associate's degree
  4. associate's degrees
  5. associated
  6. associated prime
  7. associated primes
  8. associatedness
  9. associates
  10. associateship
  11. associateships

Source and license

Adapted from Wiktionary: associated prime (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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