associated prime
التعريفات والمعاني
== English ==
=== Noun ===
associated prime (plural associated primes)
(algebra, of a module
M
{\displaystyle M}
over a ring
R
{\displaystyle R}
) An ideal of
R
{\displaystyle R}
which is the annihilator of some prime submodule of
M
{\displaystyle M}
.
(commutative algebra) If the ring
R
{\displaystyle R}
is commutative, equivalently: A prime ideal of
R
{\displaystyle R}
which is the annihilator of some element of
M
{\displaystyle M}
.