共查询到20条相似文献,搜索用时 15 毫秒
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Olivier Geneste 《代数通讯》2018,46(5):1996-2002
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Jingshan Chen 《代数通讯》2018,46(9):4120-4130
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Volodymyr Bavula 《代数通讯》2013,41(10):4114-4124
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Jesse Elliott 《代数通讯》2018,46(3):1121-1137
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A right R-module M is called glat if any homomorphism from any finitely presented right R-module to M factors through a finitely presented Gorenstein projective right R-module. The concept of glat modules may be viewed as another Gorenstein analogue of flat modules. We first prove that the class of glat right R-modules is closed under direct sums, direct limits, pure quotients and pure submodules for arbitrary ring R. Then we obtain that a right R-module M is glat if and only if M is a direct limit of finitely presented Gorenstein projective right R-modules. In addition, we explore the relationships between glat modules and Gorenstein flat (Gorenstein projective) modules. Finally we investigate the existence of preenvelopes and precovers by glat and finitely presented Gorenstein projective modules. 相似文献
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