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A Unified Approach to Local Cohomology Modules using Serre Classes

  Published:2010-07-26
 Printed: Dec 2010
  • Mohsen Asgharzadeh,
    Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran
  • Massoud Tousi,
    Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran
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Abstract

This paper discusses the connection between the local cohomology modules and the Serre classes of $R$-modules. This connection has provided a common language for expressing some results regarding the local cohomology $R$-modules that have appeared in different papers.
Keywords: associated prime ideals, local cohomology modules, Serre class associated prime ideals, local cohomology modules, Serre class
MSC Classifications: 13D45 show english descriptions Local cohomology [See also 14B15] 13D45 - Local cohomology [See also 14B15]
 

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