Definition:Right Distributive

Definition

Let $S$ be a set on which is defined two binary operations, defined on all the elements of $S \times S$, which we will denote as $\circ$ and $*$.

The operation $\circ$ is right distributive over the operation $*$ iff:

$\forall a, b, c \in S: \left({a * b}\right) \circ c = \left({a \circ c}\right) * \left({b \circ c}\right)$

Also see

• Left Distributive
• Distributive

Sources

• Seth Warner: Modern Algebra (1965)... (previous)... (next): Exercise $16.23$
• B. Hartley and T.O. Hawkes: Rings, Modules and Linear Algebra (1970): $\S 1.1$: Definitions $1.1 \ \text{(c)}$