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http://dx.doi.org/10.4134/BKMS.b210694

N-PURE IDEALS AND MID RINGS  

Aghajani, Mohsen (Department of Mathematics Faculty of Basic Sciences University of Maragheh)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.5, 2022 , pp. 1237-1246 More about this Journal
Abstract
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 a 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.
Keywords
Mid ring; mp-ring; p.f. ring; von Neumann regular ring; zero-dimensional ring; N-pure ideal; pure ideal;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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