On Strongly Copure Flat Modules and Copure Flat Dimensions |
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| Authors: | Xianhui Fu Nanqing Ding |
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| Institution: | 1. School of Mathematics and Statistics , Northeast Normal University , Changchun, China fuxianhui@gmail.com;3. Department of Mathematics , Nanjing University , Nanjing, China |
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| Abstract: | Let R be a left coherent ring. We first prove that a right R-module M is strongly copure flat if and only if Ext i (M, C) = 0 for all flat cotorsion right R-modules C and i ≥ 1. Then we define and investigate copure flat dimensions of left coherent rings. Finally, we give some new characterizations of n-FC rings. |
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| Keywords: | Copure flat dimension Flat dimension (Pre)Cover (Pre)Envelope Strongly copure cotorsion module Strongly copure flat module |
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