Definition:Entropic Structure

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Definition

An entropic structure is an algebraic structure $\struct {S, \circ}$ such that $\circ$ is an entropic operation.


That is, such that:

$\forall a, b, c, d \in S: \paren {a \circ b} \circ \paren {c \circ d} = \paren {a \circ c} \circ \paren {b \circ d}$


Also known as

An entropic structure is also known as a medial structure.


Also see

  • Results about entropic structures can be found here.


Sources