Abstract
AbstractLet R be an associative ring which is not necessarily commutative. For any torsion theory τ on the category of left R-modules and for any nonnegative integer n we define and study the notion of the nth local cohomology functor with respect to τ. For suitably nice rings a bound for the nonvanishing of these functors is given in terms of the τ-dimension of the modules.
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More From: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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