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FP_n-resolutions Of Unbounded Complexes

Posted on:2019-07-16Degree:MasterType:Thesis
Country:ChinaCandidate:Y Z SunFull Text:PDF
GTID:2370330545479320Subject:Basic mathematics
Abstract/Summary:
In the thesis,we introduce the concepts of FP_n-exact sequence and FP_n-projective and FP_n-injective modules based on a finitely n-presented module,and give a definition of FP_n-exact complex.We show that the homological properties of FP_n-exact complexes,and construct FP_n-injective resolutions of left bounded complexes of modules.Furthermore,we investigate the existences of the FP_n-injective resolutions of unbounded complexes.
Keywords/Search Tags:FP_n-exact complex, FP_n-injective module, FP_n-injective complex
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