TY - JOUR
T1 - Derived Functors of the Torsion Functor and Local Cohomology of Noncommutative Rings
AU - Golan, Jonathan S.
PY - 1983/10
Y1 - 1983/10
N2 - Let R be an associative ring which is not necessarily commutative. For any torsion theory T on the category of left R-modules and for any nonnegative integer n we define and study the notion of the n th local cohomology functor with respect to T. For suitably nice rings a bound for the nonvanishing of these functors is given in terms of the T-dimension of the modules. 1980 Mathematics subject classification (Amer. Math. Soc.): primary 16A08, 16A63, 18E25, 18G10; secondary 13D03, 16A55, 18E40.
AB - Let R be an associative ring which is not necessarily commutative. For any torsion theory T on the category of left R-modules and for any nonnegative integer n we define and study the notion of the n th local cohomology functor with respect to T. For suitably nice rings a bound for the nonvanishing of these functors is given in terms of the T-dimension of the modules. 1980 Mathematics subject classification (Amer. Math. Soc.): primary 16A08, 16A63, 18E25, 18G10; secondary 13D03, 16A55, 18E40.
UR - http://www.scopus.com/inward/record.url?scp=84976027569&partnerID=8YFLogxK
U2 - 10.1017/S1446788700025647
DO - 10.1017/S1446788700025647
M3 - Article
AN - SCOPUS:84976027569
SN - 1446-7887
VL - 35
SP - 162
EP - 177
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 2
ER -