product ring
التعريفات والمعاني
== English ==
=== Noun ===
product ring (plural product rings)
(mathematics, ring theory) A ring that is the direct product of rings.
2007, Catriona Maclean (translator), Daniel Perrin, Algebraic Geometry: An Introduction, [1995, D. Perrin, Géométrie algébrique], Springer, page 101,
Then
A
λ
{\displaystyle A_{\lambda }}
is isomorphic to the product ring
k
×
k
{\displaystyle k\times k}
via the homomorphism sending
X
{\displaystyle X}
to
(
α
,
−
α
)
{\displaystyle (\alpha ,-\alpha )}
.
==== Synonyms ====
(ring that is the direct product of rings): direct product ring
==== Derived terms ====
cup product ring
semidirect product ring
==== Translations ====