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Some Preserved Properties of Rings, Ideals and Certain Types of Modules Under Localization

Noor Hazim Hasan
Department of Mathematics , Faculty of Sceince and Health, Koya University

Abstract: Some properties of rings, ideals and certain types of modules that are preserved under localization are established. For example, it is proved that under certain condition, the primness property of ideals is preserved under localization at prime ideals. Some new algebraic structures such as G-ideals, G-submodules, G-weakly submodules and G-modules are introduced and studied. Effects of localization on these new types of structures are determined, and, so several results that concerning these structures are proved and among these results, it is proved that, a primal ideal of a commutative ring the localization of which at a prime ideal is a product of prime ideals contains always a product of a finite number of prime ideals.
KeywordsRings, Ideals , Madules, Submodules, Localization of rings, Localization of Modules.

Date: 28/02/2018
Place: Department of Mathematics/ Hall no.2
Caroline Yousif Daniel,
Mar 24, 2018, 10:39 AM