论文标题
N-Pure理想的一些结果
Some results on N-pure ideals
论文作者
论文摘要
在本文中，我们考虑了n-pure概念。理想的$ i $ $ i $ r $据说是n pure，如果对于每一个$ a \ in I $中的每一个$ a \ in I $ in $ $ b \ in i $中，则$ a（1-b）\ in n（r）$，其中n（r）为$ r $ $ r $。我们为N-Pure理想提供了新的特征。另外，确定了任意环的N-PURE理想。同样，还研究了N-Pure理想的其他一些特性。最后，我们证明了有关纯和n-pure理想的内态环的一些结果。
In this paper, we consider the N-pure notion. An ideal $I$ of a ring $R$ is said to be N-pure, if for every $a\in I$ there exists $b\in I$ such that $a(1-b)\in N(R)$, where N(R) is nil radical of $R$. We provide new characterizations for N-pure ideals. In addition, N-pure ideals of an arbitrary ring are identified. Also, some other properties of N-pure ideals are studied. finally, we prove some results about the endomorphism ring of pure and N-pure ideals.
