Modules that detect finite homological dimensions
نویسندگان
چکیده
منابع مشابه
Homological dimensions of complexes of R-modules
Let R be an associative ring with identity, C(R) be the category of com-plexes of R-modules and Flat(C(R)) be the class of all at complexes of R-modules. We show that the at cotorsion theory (Flat(C(R)); Flat(C(R))−)have enough injectives in C(R). As an application, we prove that for each atcomplex F and each complex Y of R-modules, Exti (F,X)= 0, whenever Ris n-perfect and i > n.
متن کاملhomological dimensions of complexes of r-modules
let r be an associative ring with identity, c(r) be the category of com-plexes of r-modules and flat(c(r)) be the class of all at complexes of r-modules. we show that the at cotorsion theory (flat(c(r)); flat(c(r))−)have enough injectives in c(r). as an application, we prove that for each atcomplex f and each complex y of r-modules, exti (f,x)= 0, whenever ris n-perfect and i > n.
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2014
ISSN: 2156-2261
DOI: 10.1215/21562261-2642404