Homological Dimensions of $\aleph_0$-Coherent Rings.
نویسندگان
چکیده
منابع مشابه
Homological Dimensions and Regular Rings
A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.
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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: MATHEMATICA SCANDINAVICA
سال: 1967
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10819