Title of article :
Some Properties which are Preserved under Localization of Commutative Rings and Modules
Author/Authors :
jabbar, adil kadir university of sulaimani - school of science, faculty of science and science education - department of mathematics, Iraq , hasan, noor hazim university of koya - school of science, faculty of science and health - department of mathematics, Iraq , kadir, wrya karim university of sulaimani - school of science, faculty of science and science education - department of mathematics, Iraq
Abstract :
In this paper, the effect of localization on the properties of commutative rings and some types of modules are investigated. Certain properties of commutative rings and modules which are preserved under localization are proved and some properties of co-multiplication modules have been extended to those modules the localization of which is co-multiplication.
Keywords :
Multiplicative closed sets , localization of commutative rings and modules , co , multiplication modules and second submodules
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
