associated prime

noun

An ideal of R which is the annihilator of some prime submodule of M.

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Meanings

nounassociated prime (plural associated primes)

plural associated primes

  1. algebraAn ideal of R which is the annihilator of some prime submodule of M.
    1. commutative algebraalgebraIf the ring R is commutative, equivalently: A prime ideal of R which is the annihilator of some element of M.
Cite this entry
APA

associated prime. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/associated%20prime

MLA

“associated prime.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/associated%20prime. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “associated prime,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/associated%20prime.

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