Comparison of Certain Complexes of Modules of Generalized Fractions and Čech Complexes |
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| Authors: | R Tajarod |
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| Institution: | Mosaheb Institute of Mathematics, Teacher Training University , Tehran, Iran |
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| Abstract: | We establish an explicit quasi-isomorphism of complexes, which is homogeneous in graded situation, from a given ?ech 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. |
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| Keywords: | ?ech complex Filter regular sequence Local cohomology Modules of generalized fractions |
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