TITLE:
The Primary Radical of a Submodule
AUTHORS:
Lamis J. M. Abulebda
KEYWORDS:
Primary Submodule; Prime Radical of a Submodule; Radical Submodule; Free Module; Noetherian Module; Finitely Generated Submodule
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.5,
September
26,
2012
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.