> 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.
展开▼
机译： > 问题陈述： TY Lam和CTC Wall等许多作者介绍了在阿贝尔群上具有统一性的梯度交换环，并介绍了关于具有统一性的交换环的几乎最佳理想由SM Batwadeker和P.K.沙尔玛（Sharma），这迫使我们试图将几乎和n-几乎最佳理想的理论扩展到分级情况。 方法：我们针对分级情况发展了几乎和n-个素数理想的理论。 结果：我们将有关几乎和n-几乎素数理想的一些基本结果扩展到了分级情况，然后给出了n-几乎分级的素理想和弱等级的素理想之间的关系。 结论：关于几乎和n个几乎所有等级的理想理想的扩展结果，使我们可以对大约几乎所有等级的理想理想进行进一步的分类。 2000 AMS数学学科分类：13 A 02。
展开▼
