Some remarks on $u$-$S$-Noetherian and $u$-$S$-coherent rings

Xiaolei Zhang; Wei Qi

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arXiv · 2508.21400

Some remarks on $u$-$S$-Noetherian and $u$-$S$-coherent rings

Xiaolei Zhang·Wei Qi

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Abstract

In this paper, we give some new characterizations of $u$-$S$-Noetherian rings and $u$-$S$-coherent rings in terms of uniform $S$-version of injective precovers, flat preenvelopes and absolutely pure modules, respectively. Moreover, we give a negative answer to a question proposed by Bouziri [3].

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Xiaolei Zhang, Wei Qi. 2025-08-29. Some remarks on $u$-$S$-Noetherian and $u$-$S$-coherent rings. https://arxiv.org/abs/2508.21400

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