  Let $G$ be a sp-group such that for every prime $p$, $G_p$ is elementary.
%$\oplus \End_{\zz}(G_p) \leq \End_{\zz}(G) \leq \prod \End_{\zz}(G_p)$.
Suppose that $\frac{G}{\oplus_{p\in \mathbb{P}} G_p}$ is torsion-free
divisible.
  %In this article we characterize pure subrings of $\prod_{p\in \mathbb{P}}
\End(G_p)$.
  We show that $\End_{\zz}(G)$ is a sp-group and every subring $R$ of $\prod
\End_{\zz}(G_p)$, containing $\oplus \End_{\zz}(G_p)$ is pure if and only if
$R=\mathbb{M}_T=\{x\in \prod_{p\in \mathbb{P}}\End(G_p) \;|\; \exists k\in \nn
\;\mbox{\rm{such that}} \;\; kx \in T \},$ where $T$ is a subring of
$\prod_{p\in \mathbb{P}}\End(G_p)$. We observe that
$\frac{\mathbb{M}_T}{\oplus_{p\in \mathbb{P}}\End(G_p)}$ is (ring) isomorphic
with $T\otimes_{\zz} \qq$. Moreover, we conclude that a significant number of
the examples around the topic can be easily obtained and described by choosing
an appropriate subring $T$.
