Title of article
Homological dimensions of complexes of R-modules
Author/Authors
Tayarzadeh, N. Department of Mathematics - Gachsaran branch, Islamic Azad University , Hosseini, E. Department of Mathematics - Gachsaran branch, Islamic Azad University , Niknejad, Sh. Department of Mathematics - Gachsaran branch, Islamic Azad University
Pages
9
From page
95
To page
103
Abstract
Let R be an associative ring with identity, C(R) be the category of complexes of R-modules and Flat(C(R)) be the class of all flat complexes of Rmodules. We show that the flat cotorsion theory (Flat(C(R)), Flat(C(R))⊥) have enough injectives in C(R). As an application, we prove that for each flat complex F and each complex Y of R-modules, Exti (F, Y) = 0, whenever R is n-perfect and i > n.
Keywords
Cotorsion theory , Cotorsion dimension , Projective dimension
Journal title
نظريه تقريب و كاربردهاي آن
Serial Year
2013
Record number
2492937
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