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The Primary Radical of a Submodule

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DOI: 10.4236/apm.2012.25049    4,645 Downloads   7,485 Views   Citations


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.

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The authors declare no conflicts of interest.

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

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