Volume no :3, Issue no: 1, August 2009

Journal of Mathematical Sciences: Advances and Applications

GRADED RINGS IN WHICH EVERY PROPER GRADED IDEAL IS ALMOST GR-PRIME

Author's: Hani Khashan, Ameer Jaber and Malik Bataineh
Pages: [41] - [58]
Received Date: Sep 18, 2008; Revised Mar 02, 2009
Submitted by:

Abstract

In this paper, we study further properties of almost and n-almost gr-prime ideals in a graded ring R. In particular, we investigate some conditions under which a graded ideal is almost gr-prime. Finally, we give a characterization for graded rings in which every proper graded ideal is almost gr-prime.

Keywords

graded rings, graded ideals, gr-prime and almost gr-prime ideals, noetherian graded ring, valuation graded domain.