论文标题
n-pure理想和中环
N-pure ideals and mid rings
论文作者
论文摘要
在本文中，我们介绍了n-pure理想的概念，作为纯粹理想的概括。使用这个概念，提出了一种新的有趣类型的戒指，我们称其为中环。此外，我们为冯·诺伊曼（Von Neumann）的常规和零维环提供了新的特征。此外，给出了一些有关MP环的结果。最后，提供了中环的特征。然后表明，中环的类别严格在减少的MP环（P.F.环）和MP环类之间。
In this paper, we introduce the concept of N-pure ideal as a generalization of pure ideal. Using this concept, a new and interesting type of rings is presented, we call it mid ring. Also, we provide new characterizations for von Neumann regular and zero-dimensional rings. Moreover, some results about mp-ring are given. Finally, a characterization for mid rings is provided. Then it is shown that the class of mid rings is strictly between the class of reduced mp-rings (p.f. rings) and the class of mp-rings.
