a zariski-like topology on the 2-prime spectrum of commutative rings

A proper ideal $p$ of a ring $r$ is called emph{2-prime} if for all $x, y in r$ such that $xyin p$, then either $x^2 in p$ or $y^2 in p$. in this paper, we introduce a zariski topology on the set of all 2-prime ideals of commutative rings. we investigate this topology and clarify the interplay between the properties of this topological space and the algebraic properties of the ring under consideration.