  Let $R=k[|t^a,t^b,t^c|]$ be a complete intersection numerical semigroup ring
over an infinite field $k$, where $a,b,c\in\BN$. The generalized Loewy length,
which is Auslander's index in this case, is computed in terms of the minimal
generators of the semigroup: $a,b$ and $c$. Examples provided show that the
left hand side of Ding's inequality $\mult(R)-\inde(R)-\codim(R)+1\geq 0$ can
be made arbitrarily large for rings $R$ with $\edim(R)=3$ . The index of a
complete intersection numerical semigroup ring with embedding dimension greater
than three is also computed.
