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Abstract
In this article, we shall investigate the concepts of cofiniteness of local cohomology modules and Abelian categories of cofinite modules over arbitrary Noetherian rings. Then we shall improve some of the well known results in the area.
2010 Mathematics Subject Classification:
Acknowledgements
The author would like to acknowledge his deep gratitude from the referee for a very careful reading of the manuscript and many valuable suggestions. He also would like to thank to School of Mathematics, Institute for Research in Fundamental Sciences (IPM) for its financial support.
Disclosure statement
No potential conflict of interest was reported by the author.
Additional information
Funding
This research of the author was supported by a grant from IPM (No. 96130018).