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 -