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The Primary Radical of a Submodule

DOI: 10.4236/apm.2012.25049, PP. 344-348

Keywords: Primary Submodule, Prime Radical of a Submodule, Radical Submodule, Free Module, Noetherian Module, Finitely Generated Submodule

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Abstract:

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.

References

[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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