| 关于GI-平坦模的注记 |
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| 引用本文： | 陈翔.关于GI-平坦模的注记[J].闽江学院学报,2013,34(2):8-9,41. |
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| 作者姓名： | 陈翔 |
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| 作者单位： | 闽江学院数学系,福建福州,350121 |
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| 摘 要： | 利用GI-平坦模与Gorenstein平坦维数给出了平坦模的另一等价刻划,并得到了环R是左Gorenstein半遗传环时,右R模M是GI-平坦模当且仅当M是平坦模;在交换环的条件下利用Hom函子,A函子刻划了GI-平坦模;另外还给出了短正合列上的模的GI平坦维数的关系.
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| 关 键 词： | Gorenstein内射模 Gorenstein平坦模 GI-内射模 GI-平坦模 |
A note on GI-flat modules |
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| CHEN Xiang.A note on GI-flat modules[J].Journal of Minjiang University,2013,34(2):8-9,41. |
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| Authors: | CHEN Xiang |
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| Institution: | CHEN Xiang (Department of Mathematics, Minfiang University, Fuzhou, Fujian 350121, China) |
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| Abstract: | By using the concept of GI-flat module and Gorenstein flat dimension, a new characterization of flat modules is put forward. It is also proved that： if R is left Gorenstein semihereditary, M is GI-flat if and only if M is flat; if R is commutative, by using Horn functor and -A functor, some equivalence charac- terizations of GI-flat modules are given; let O→A→B→C→O be an exact sequence of right R-modules, the relationship between these modules＇ GI-flat dimension is discussed. |
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| Keywords: | Gorenstein injective modules Gorenstein flat modules GI-injective modules GI-flat mod- ules |
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