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Co-Cohen-Macaulay Artinian modules over commutative rings

Published online by Cambridge University Press:  18 May 2009

I. H. Denizler and
R. Y. Sharp
I. H. Denizler
Affiliation:
Pure Mathematics Section, School of Mathematics and Statistics, University of Sheffield, Hicks Building, Sheffield S3 7RH
R. Y. Sharp
Affiliation:
Pure Mathematics Section, School of Mathematics and Statistics, University of Sheffield, Hicks Building, Sheffield S3 7RH
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In [7], Z. Tang and H. Zakeri introduced the concept of co-Cohen-Macaulay Artinian module over a quasi-local commutative ring R (with identity): a non-zero Artinian R-module A is said to be a co-Cohen-Macaulay module if and only if codepth A = dim A, where codepth A is the length of a maximalA-cosequence and dimA is the Krull dimension of A as defined by R. N. Roberts in [2]. Tang and Zakeriobtained several properties of co-Cohen-Macaulay Artinian R-modules, including a characterization of such modules by means of the modules of generalized fractions introduced by Zakeri and the present second author in [6]; this characterization is explained as follows.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 3 , September 1996, pp. 359 - 366
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

REFERENCES

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