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Abstract
We establish an explicit quasi-isomorphism of complexes, which is homogeneous in graded situation, from a given Čech complex to a certain complex of modules of generalized fractions. This leads to characterizations of local cohomology and ideal transforms of a module. Also, in this note, we study the behavior of generalized fraction formation along exact sequences and vanishing of modules of generalized fractions in certain cases.
ACKNOWLEDGMENT
The authors are deeply grateful to the referee for very careful reading of the manuscript and valuable suggestions. Research supported in part by MIM Grant No. P83-117.
Notes
Communicated by W. Bruns.