Definition:Entropic

Definition

Entropic Operation

Let $\circ$ be an operation on a set $S$ such that:

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

Then $\circ$ is entropic.

Entropic Structure

An entropic structure is an algebraic structure $\left({S, \circ}\right)$ such that $\circ$ is an entropic operation.

Also see

• Results about entropic structures can be found here.

Sources

• Seth Warner: Modern Algebra (1965)... (previous)... (next): Exercise $13.12$