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LI Qing. Absolutely w-E-pure modules over commutative rings[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(4): 655-662. DOI: 10.7540/j.ynu.20210173
Citation: LI Qing. Absolutely w-E-pure modules over commutative rings[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(4): 655-662. DOI: 10.7540/j.ynu.20210173

Absolutely w-E-pure modules over commutative rings

  • w-E-pure exact sequences and absolutely w-E-pure modules are introduced and studied. We obtain that the class of absolutely w-E-pure modules are closed under w-E-pure submodules and extensions, respectively. It indicates that in some sense absolutely w-E-pure modules can be seen as the dual of w-copure flat modules. Finally, w-IFrings are characterized in terms of absolutely a w-E-pure modules.
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