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Communications in Algebra Volume 41, 2013 - Issue 8
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Original Articles

Minimaxness and Cofiniteness Properties of Local Cohomology Modules

Kamal Bahmanpour School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran and Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
,
Reza Naghipour Department of Mathematics, University of Tabriz, Tabriz, Iran and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
&
Monireh Sedghi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, IranCorrespondence[email protected]
Pages 2799-2814 | Received 14 Oct 2011, Published online: 14 Jun 2013

Citations (16)

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Read on this site (6)

Kamal Bahmanpour. (2019) A study of cofiniteness through minimal associated primes. Communications in Algebra 47:3, pages 1327-1347.
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Reza Naghipour, Robabeh Maddahali & Khadijeh Ahmadi Amoli. (2018) Faltings’ local–global principle for the in dimension <n of local cohomology modules. Communications in Algebra 46:8, pages 3496-3509.
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Ali Akbar Mehrvarz, Reza Naghipour & Monireh Sedghi. (2015) Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings. Communications in Algebra 43:11, pages 4860-4872.
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Davood Asadollahi & Reza Naghipour. (2015) Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules. Communications in Algebra 43:3, pages 953-958.
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Mohammad Reza Doustimehr & Reza Naghipour. (2015) Faltings' Local-Global Principle for the Minimaxness of Local Cohomology Modules. Communications in Algebra 43:2, pages 400-411.
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Nemat Abazari & Kamal Bahmanpour. (2014) A Note on the Artinian Cofinite Modules. Communications in Algebra 42:3, pages 1270-1275.
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Articles from other publishers (10)

M. Y. Sadeghi, Kh. Ahmadi Amoli & M. Chaghamirza. (2023) General Local Cohomology Modules in View of Low Points and High Points. Ukrainian Mathematical Journal 75:5, pages 800-816.
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M. Y. Sadeghi, Kh. Ahmadi Amoli & М. Chaghamirza. (2023) General local cohomology modules in view of low points and high points. Ukrains’kyi Matematychnyi Zhurnal 75:5, pages 698-711.
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Alireza Vahidi, Moharram Aghapournahr & Elahe Mahmoudi Renani. (2021) Finiteness dimensions and cofiniteness of local cohomology modules. Rocky Mountain Journal of Mathematics 51:3.
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Alireza Vahidi & Saeid Morsali. (2020) Cofiniteness with Respect to the Class of Modules in Dimension less than a Fixed Integer. Taiwanese Journal of Mathematics 24:4.
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Nguyen Van Hoang & Ngo Thi Ngoan. (2019) On the Cofiniteness of Small-Level Generalized Local Cohomology Modules. Bulletin of the Iranian Mathematical Society 46:3, pages 725-736.
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Leila Abdi, Reza Naghipour & Monireh Sedghi. (2018) Faltings’ local–global principle for finiteness dimension of cofinite modules. Archiv der Mathematik 112:1, pages 33-39.
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Shahram Rezaei. (2018) $${\varvec{\mathcal {S}}}$$ S -minimaxness and local cohomology modules. Archiv der Mathematik 110:6, pages 563-572.
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Ghader Ghasemi, Kamal Bahmanpour & Jafar A’zami. (2016) On the cofiniteness of Artinian local cohomology modules. Journal of Algebra and Its Applications 15:04, pages 1650070.
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Nemat Abazari & Kamal Bahmanpour. (2015) EXTENSION FUNCTORS OF LOCAL COHOMOLOGY MODULES AND SERRE CATEGORIES OF MODULES. Taiwanese Journal of Mathematics 19:1.
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Davood Asadollahi & Reza Naghipour. (2014) A new proof of Faltings’ local-global principle for the finiteness of local cohomology modules. Archiv der Mathematik 103:6, pages 451-459.
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