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Gorenstein Flat and Cotorsion Dimensions of Unbounded Complexes
Authors:Xiaoyan Yang  Jianlian Zhao
Institution:1. Department of Mathematics , Northwest Normal University , Lanzhou , China yangxy@nwnu.edu.cn;3. Department of Mathematics , Northwest Normal University , Lanzhou , China
Abstract:In this article, we define and study the Gorenstein flat dimension and Gorenstein cotorsion dimension for unbounded complexes over GF-closed rings by constructions of resolutions of unbounded complexes. The behavior of the dimensions under change of rings is investigated.
Keywords:Gorenstein cotorsion dimension  Gorenstein flat dimension
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