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arXiv · 2011.02134

N-pure ideals and mid rings

Mohsen Aghajani
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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 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.

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Mohsen Aghajani. 2020-11-04. N-pure ideals and mid rings. https://arxiv.org/abs/2011.02134

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