On The Annihilators of Derived Functors of Local Cohomology Modules and Finiteness Dimension

REFERENCES

• Brodmann , M. ( 1983 ). Einige Ergebnisse aus der lokalen Kohomologietheorie und ihre Anwendung. Osnabrucker Schriften zur Mathematik. Reihe M: Mathematische Manuskripte, Vol. 5. Osnabrück: Universität Osnabrück, Fachbereich Mathematik .
   Google Scholar
• Brodmann , M. , Rotthaus , Ch. , Sharp , R. Y. ( 2000 ). On annihilators and associated primes of local cohomology modules . J. Pure Appl. Algebra 153 ( 3 ): 197 – 227 .
   Web of Science ®Google Scholar
• Brodmann , M. , Sharp , R. Y. ( 1998 ). Local cohomology – An algebraic introduction with geometric applications . Cambridge Studies in Advanced Mathematics . Vol. 60 . Cambridge : Cambridge University Press .
   Google Scholar
• Faltings , G. ( 1978 ). Uber die Annulatoren lokaler Kohomologiegruppen . Arch. Math. (Basel) 30 ( 5 ): 473 – 476 .
   Web of Science ®Google Scholar
• Grothendieck , A. ( 1968 ). Cohomologie Locale Des Faisceaux Cohérents et Théorèmes De Lefschetz Locaux et Globaux (Sga2) . Amsterdam : North-Holland Publishing Co .
   Google Scholar
• Herzog , J. ( 1974 ). Komplexe, Auflösungen und dualität in der lokalen. Algebra. Preprint UniverSität Regensburg .
   Google Scholar
• Huneke , C. L. ( 1992 ). Problems on local cohomology. Free resolutions in commutative algebra and algebraic geometry . Res. Notes Math. Vol. 2 . Boston : Jones and Bartlett, MA , pp. 93 – 108 .
   Google Scholar
• Khashyarmanesh , K. ( 2009 ). On the annihilators of local cohomology modules . Comm. Algebra 37 ( 5 ): 1787 – 1792 .
   Web of Science ®Google Scholar
• Khashyarmanesh , K. , Khosh-Ahang , F. ( 2012 ). Local cohomology modules, Serre subcategories and derived functors of torsion functors . Algebra Colloq. 19 ( Spec 1 ): 1187 – 1196 .
   Google Scholar
• Khashyarmanesh , K. , Khosh-Ahang , F. ( 2007 ). When are the local cohomology modules finitely generated? Comm. Algebra 35 ( 10 ): 3038 – 3044 .
   Web of Science ®Google Scholar
• Khashyarmanesh , K. Salarian , Sh. ( 2004 ). Faltings theorem for the annihilation of local cohomology modules over a Gorenstein ring . Proc. Amer. Math. Soc. 132 ( 8 ): 2215 – 2220 .
   Web of Science ®Google Scholar
• Khashyarmanesh , K. Salarian , Sh. ( 2006 ). Uniform annihilation of local cohomology modules over a Gorenstein ring . Comm. Algebra 34 ( 5 ): 1625 – 1630 .
   Web of Science ®Google Scholar
• Khashyarmanesh , K. , Yassi , M. , Abbasi , A. ( 2004 ). A new version of local-global principle for annihilations of local cohomology modules . Colloq. Math. 100 ( 2 ): 213 – 219 .
   Google Scholar
• Raghavan , K. ( 1992 ). Uniform annihilation of local cohomology and of Koszul homology . Math. Proc. Cambridge Philos. Soc. 112 ( 3 ): 487 – 494 .
   Web of Science ®Google Scholar
• Schenzel , P. , Trung , N. V. , Cuong , N. T. (1978). Verallgemeinerte Cohen-Macaulay-Moduln. Math. Nachr. 85:57–73.
   Web of Science ®Google Scholar
• Stückrad , J. , Vogel , W. ( 1986 ). Buchsbaum Rings and Applications . Berlin : VEB Deutscher Verlag der Wissenschaften .
   Google Scholar
• Suzuki , N. ( 1978 ). On the generalized local cohomology and its duality . J. Math. Kyoto Univ. 18 : 71 – 85 .
   Google Scholar
• Tang , Z. ( 2008 ). A new depth and the annihilation of local cohomology modules . Arch. Math. (Basel) 90 ( 3 ): 200 – 208 .
   Web of Science ®Google Scholar
• Zhou , C. ( 2007 ). Uniform annihilators of local cohomology of excellent rings . J. Algebra 315 ( 1 ): 286 – 300 .
   Web of Science ®Google Scholar
• Communicated by I. Swanson.
   Google Scholar