associated prime

noun — 2 senses

noun

Algebra, Mathematics, Sciences An ideal of R which is the annihilator of some prime submodule of M.

Of a module M over a ring R

Algebra, Mathematics, Sciences If the ring R is commutative, equivalently: A prime ideal of R which is the annihilator of some element of M.

Commutative algebra Of a module M over a ring R

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