Definition:Self-Distributive Operation/Right
Jump to navigation
Jump to search
Definition
Let $\circ$ be a binary operation on the set $S$.
$\circ$ is right self-distributive if and only if:
- $\forall a, b, c \in S: \paren {a \circ b} \circ c = \paren {a \circ c} \circ \paren {b \circ c}$
Also known as
Some sources use the term right distributive over itself
Also see
- Results about self-distributive operations can be found here.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {III}$: The Natural Numbers: $\S 16$: The Natural Numbers: Exercise $16.23 \ \text{(c)}$