The Primary Radical of a Submodule - Advances in Pure Mathematics

APM > Vol.2 No.5, September 2012

Advances in Pure Mathematics

Volume 2, Issue 5 (September 2012)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

The Primary Radical of a Submodule ()

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DOI: 10.4236/apm.2012.25049 5,342 Downloads 8,725 Views Citations

Author(s)

Lamis J. M. Abulebda

Affiliation(s)

University College, Abu Dhabi Universityn, Abu Dhabi, UAE.

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.

KEYWORDS

Primary Submodule; Prime Radical of a Submodule; Radical Submodule; Free Module; Noetherian Module; Finitely Generated Submodule

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.

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