“School of Mathematics”
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| Paper IPM / M / 88 |
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| Abstract: | |||||
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The structural property of dualizing complex is generalized and
its applications to show that (1) over a ring possessing dualizing
complex, the conditions of Serre on the canonical module are
connected with the local cohomologies of the ring itself; (2) the
Cousin complexes of certain modules over a ring possessing
dualizing complex have finitely generated cohomologies; (3) a
quotient of a Cohen-Macaulay local ring which satisfies (S2)
and admits canonical module, also possesses a dualizing complex.
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