The Primary Radical of a Submodule ()
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.
Share and Cite:
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.
Conflicts of Interest
The authors declare no conflicts of interest.
References
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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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