%0 Journal Article %T The Primary Radical of a Submodule %A Lamis J. M. Abulebda %J Advances in Pure Mathematics %P 344-348 %@ 2160-0384 %D 2012 %I Scientific Research Publishing %R 10.4236/apm.2012.25049 %X In this paper we introduced a definition for the primary radical of a submodule with some of its basic properties. We also define the P-radical submodule and review some results about it. We find a method to characterize the primary radical of a finitely generated submodule of a free module. %K Primary Submodule %K Prime Radical of a Submodule %K Radical Submodule %K Free Module %K Noetherian Module %K Finitely Generated Submodule %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=22803