Equivalent Conditions for Entropic Structure

Theorem
Let $\struct {S, \odot}$ be an algebraic structure.

This page gathers together some conditions on $\struct {S, \odot}$ which are logical equivalences to $\struct {S, \odot}$ being an entropic structure.

Pointwise Operation is Homomorphism
=== Pointwise Operation of Homomorphisms from External Direct Product is Homomorphism ===