APM  Vol.2 No.5 , September 2012
The Primary Radical of a Submodule
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.

Cite this paper
L. Abulebda, "The Primary Radical of a Submodule," Advances in Pure Mathematics, Vol. 2 No. 5, 2012, pp. 344-348. doi: 10.4236/apm.2012.25049.
[1]   McCasland, R.L., Moore, M.E (1986): On Radicals of Submodules of Finitely Generated Modules, Canad. Math.Bull, 29,37-39