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Characterizations of filter regular sequences and unconditioned strong d-sequences

Published online by Cambridge University Press:  22 January 2016

K. Khashyarmanesh ,
Sh. Salarian  and
H. Zakeri
K. Khashyarmanesh
Affiliation:
Institute for Studies in Theoretical, Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran
Sh. Salarian
Affiliation:
Institute for Studies in Theoretical, Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran
H. Zakeri
Affiliation:
Institute for Studies in Theoretical, Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran, ZAKERIH@KARUN.ipm.ac.ir
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Abstract.

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The first part of the paper is concerned, among other things, with a characterization of filter regular sequences in terms of modules of generalized fractions. This characterization leads to a description, in terms of generalized fractions, of the structure of an arbitrary local cohomology module of a finitely generated module over a notherian ring. In the second part of the paper, we establish homomorphisms between the homology modules of a Koszul complex and the homology modules of a certain complex of modules of generalized fractions. Using these homomorphisms, we obtain a characterization of unconditioned strong d-sequences.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 151 , September 1998 , pp. 37 - 50
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

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