\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
Let $R$ be a commutative ring with identity and let $M$
be an $R$-module. A proper submodule $P$ of $M$ is called a
classical prime submodule if $abm\in P$ for $a$, $b\in R$, and
$m\in M$, implies that $am\in P$ or $bm\in P$. The classical
prime spectrum Cl.Spec$(M)$ is defined to be the set of all
classical prime submodules of $M$. The aim of this paper is to
introduce and study a topology on Cl.Spec$(M)$, which generalize
the Zariski topology of $R$ to $M$, called Zariski-like topology
of $M$. In particular, we investigate this topological space from
the point of view of spectral spaces. It is shown that if $M$ is
a Noetherian (or an Artinian) $R$-module, then Cl.Spec$(M)$ with
the Zariski-like topology is a spectral space, i.e., there exists
a commutative ring $S$ such that Cl.Spec$(M)$ with the
Zariski-like topology is homeomorphic to Spec$(S)$ with the usual
Zariski topology.
}
\end{document}