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Gorenstein B Cotorsion Modules

Posted on:2021-05-28Degree:MasterType:Thesis
Country:ChinaCandidate:Y X WangFull Text:PDF
GTID:2370330623481993Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let R be ring,B be a class of right R-modules.An R-module N is called a Gorenstein B cotorsion,if ExtR1(F,N)=0 for all Gorenstein B flat modules F We firstly investigate some properties of Gorenstein B cotorsion modules;Secondly.we introduce Gorenstein B cotorsion dimension of modules and study some of its properties;Finally,we give some applications of Gorenstein B cotorsion modules over commutative rings.
Keywords/Search Tags:Gorenstein B cotorsion module, Gorenstein B cotorsion dimension, (pre)cover, (pre)envelope
PDF Full Text Request
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