Some properties of gr-multiplication ideals

Authors: HANI KHASHAN

Abstract: In this paper, we study some of the properties of gr-multiplication ideals in a graded ring R. We first characterize finitely generated gr-multiplication ideals and then give a characterization of gr-multiplication ideals by using the gr-localization of R. Finally we determine the set of gr-P-primary ideals of R when P is a gr-multiplication gr-prime ideal of R.

Keywords: Graded Rings, Graded Ideals, Gr-primary Ideals and Gr-multiplication Ideals.

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