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The Primary Radical of a Submodule
University College, Abu Dhabi Universityn, Abu Dhabi, UAE
- 1 University College, Abu Dhabi Universityn, Abu Dhabi, UAE
Advances in Pure Mathematics·Volume 02 (2012)·Pages 344–348·Published 25 September 2012·DOI10.4236/apm.2012.25049
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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.
KeywordsPrimary SubmodulePrime Radical of a SubmoduleRadical SubmoduleFree ModuleNoetherian ModuleFinitely Generated Submodule
- McCasland, R.L., Moore, M.E (1986): On Radicals of Submodules of Finitely Generated Modules, Canad. Math.Bull, 29,37-39