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Socle Finiteness of Local Cohomology Modules and Gorenstein Ideals

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Abstract

The purpose of this paper is to give some equivalent conditions to the socle and Bass numbers’ conjectures which raised by Huneke in (Res Notes Math 2:93–108,). In addition, some results about certain Gorenstein ideals are included.

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Authors and Affiliations

  1. Department of Mathematics, Tabriz branch, Islamic Azad University, Tabriz, Iran

    Ali Akbar Mehrvarz

  2. Department of Mathematics, Ardabil branch, Islamic Azad Universit, Ardabil, Iran

    Kamal Bahmanpour

  3. Department of Mathematics, University of Tabriz, Tabriz, Iran

    Reza Naghipour

  4. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

    Reza Naghipour

Authors
  1. Ali Akbar Mehrvarz
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  2. Kamal Bahmanpour
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  3. Reza Naghipour
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Correspondence to Reza Naghipour.

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Presented by: Vlastimil Dlab.

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Mehrvarz, A.A., Bahmanpour, K. & Naghipour, R. Socle Finiteness of Local Cohomology Modules and Gorenstein Ideals. Algebr Represent Theor 17, 1207–1215 (2014). https://doi.org/10.1007/s10468-013-9442-y

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  • DOI: https://doi.org/10.1007/s10468-013-9442-y

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