R-Sequences and Homological Dimension
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.
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1962
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000023710