Suppose $S$ is an infinite semi-ring with zero element and unity. Let $A_S$ be the ring obtained from $S$ by adjoining to it the additive inverses and $K_{A_S}$ the field of fractions of this ring.
Can any semi-ring automorphism of $S$ be canonically extended to a field automorphism of $K_{A_S}$? Or must additional properties be fulfilled by $S$ and if yes, which?