%0 Journal Article %T Radically principal rings %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Aqalmoun, Mohamed %A Ouarrachi, Mounir El %D 2020 %\ 07/01/2020 %V 6 %N 2 %P 243-249 %! Radically principal rings %K radical %K radically principal %K polynomial ring %R 10.22034/kjm.2020.109821 %X Let $A$ be a commutative ring. An ideal $I$ of $A$ is radically principal if there exists a principal ideal $J$ of $A$ such that $\sqrt{I}=\sqrt{J}$. The ring $A$ isĀ  radically principal if every ideal of $A$ is radically principal. In this article, we study radically principal rings. We prove an analogue of the Cohen theorem, precisely, a ring is radically principal if and only if every prime ideal is radically principal. Also we characterize a zero-dimensional radically principal ring. Finally we give a characterization of polynomial ring to be radically principal. %U https://www.kjm-math.org/article_109821_13bebfe55715bbb4a8fec12a006e6f52.pdf