Almost Graded Prime Ideals | Science Publications

Journal of Mathematics and Statistics

Ameer Jaber¹  Malik Bataineh¹  Hani Khashan¹ 

关键词: Graded rings;    graded prime ideals;    almost graded prime ideals;    n-almost graded prime ideals;   

DOI  :  10.3844/jmssp.2008.231.235

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem Statement: Graded commutative ring with unity over an abelian group were introduced by many authors such as T. Y. Lam and C. T. C. Wall, and almost prime ideals over commutative rings with unity were introduced by S.M. Batwadeker and P.K. Sharma, and this forced us to try to extend the theory of almost and n-almost prime ideals to the graded case. Approach: We develop the theory of almost and n-almost prime ideals to the graded case. Results: We extended some basic results about almost and n-almost prime ideals to the graded case, and then we gave a relationship between n-almost graded prime ideals and weakly graded prime ideals. Conclusion: The extended results about almost and n-almost graded prime ideals allow us to classify further properties about almost graded prime ideals. 2000 AMS Mathematics Subject Classification: 13 A 02.

【 授权许可】

Unknown