  We define a notion of compressed local Artinian ring that does not require
the ring to contain a field. Let $(R,\mathfrak m)$ be a compressed local
Artinian ring with odd top socle degree $s$, at least five, and
$\operatorname{socle}(R)\cap \mathfrak m^{s-1}=\mathfrak m^s$. We prove that
the Poincar\'e series of all finitely generated modules over $R$ are rational,
sharing a common denominator, and that there is a Golod homomorphism from a
complete intersection onto $R$.
