Dictionary

associated prime en · NOUN

Meanings

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

Forms