Gorenstein flat dimension of complexes
Gorenstein flat dimension of complexes
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DOI：
10.1215/kjm/1265899484
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发表时间：
2010-02
影响因子：
--
通讯作者：
A. Iacob
中科院分区：
文献类型：
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作者：
A. Iacob
本文定义了左GF-闭环上无界复形的Gorenstein平坦维数。在Gorenstein环上，我们引入了复形的Gorenstein上同调的概念，定义了Gorenstein环上复形的广义Tate上同调，并证明了绝对上同调、Gorenstein上同调和广义Tate上同调之间有着密切的联系.
We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-closed rings. Over Gorenstein rings we introduce a notion of Gorenstein coho- mology for complexes; we also define a generalized Tate cohomol- ogy for complexes over Gorenstein rings, and we show that there is a close connection between the absolute, the Gorenstein and the generalized Tate cohomology.