<p>We give some new characterizations of <i>u</i>-<i>S</i>-Noetherian rings and <i>u</i>-<i>S</i>-coherent rings in terms of uniform <i>S</i>-versions of injective precovers, flat preenvelopes and absolutely pure modules. Moreover, we give a negative answer to a question proposed by Bouziri.</p>

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

  • Xiaolei Zhang,
  • Wei Qi

摘要

We give some new characterizations of u-S-Noetherian rings and u-S-coherent rings in terms of uniform S-versions of injective precovers, flat preenvelopes and absolutely pure modules. Moreover, we give a negative answer to a question proposed by Bouziri.