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Derived functors of the torsion functor and local cohomology of noncommutative rings
Published online by Cambridge University Press: 09 April 2009
Abstract
Let 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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- Copyright © Australian Mathematical Society 1983
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