Strongly Gorenstein Flat Dimensions of Complexes

Strongly Gorenstein Flat Dimensions of Complexes
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配合物的强 Gorenstein 平坦尺寸

DOI:
10.1080/00927872.2015.1027352
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发表时间:
2016-03
影响因子:
0.7
通讯作者:
Liu, Zhongkui
Liu, Zhongkui
中科院分区:
数学3区
文献类型:
--
作者:
Wang, Zhanping;Liu, Zhongkui

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In this article, we define and study a notion of strongly Gorenstein flat dimensions for complexes of left modules over associative rings. In particular, we consider the class of homologically bounded below complexes of left R-modules, and show that strongly Gorenstein flat dimension has a nice functorial description. In addition, we will investigate the strongly Gorenstein flat properties of complexes under change of rings. As an application, we study the Tate cohomology theories with respect to ℱ-complete resolutions, where ℱ is the class of all flat modules.
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