Definition:Trivial Ring

Definition
A ring $\left({R, +, \circ}\right)$ is a trivial ring iff:


 * $\forall x, y \in R: x \circ y = 0_R$

Also defined as
Some sources refer to a trivial ring as what is defined on as a null ring: a ring with one element.

Also see

 * Trivial Ring is Commutative Ring