A Remark on the Finiteness Dimension

REFERENCES

• Brodmann , M. , Faghani , A. L. ( 2000 ). A finiteness result for associated primes of local cohomology modules . Proc. Amer. Math. Soc. 128 : 2851 – 2853 .
   Web of Science ®Google Scholar
• Brodmann , M. , Sharp , R. Y. ( 1998 ). Local Cohomology: An Algebraic Introduction with Geometric Applications . Cambridge University Press .
   Google Scholar
• Cuong , N. T. , Quy , P. H. ( 2011 ). A splitting theorem for local cohomology and its applications . J. Algebra 331 : 512 – 522 .
   Web of Science ®Google Scholar
• Huneke , C. ( 1992 ). Problems on local cohomology. In: Free Resolutions in Commutative Algebra and Algebraic Geometry (Sundance, Utah, 1990). Res. Notes Math. Vol. 2. Boston, MA: Jones and Bartlett, pp. 93–108 .
   Google Scholar
• Huneke , C. , Sharp , R. Y. ( 1993 ). Bass numbers of local cohomology modules . Trans. Amer. Math. Soc. 339 : 765 – 779 .
   Web of Science ®Google Scholar
• Kaplansky , I. ( 1974 ). Commutative Rings . Revised ed. , Chicago : Chicago University Press .
   Google Scholar
• Khashyarmanesh , K. , Salarian , Sh. ( 1998 ). Finter regular sequences and the finiteness of local cohomology modules . Comm. Algebra 26 : 2483 – 2490 .
   Web of Science ®Google Scholar
• Khashyarmanesh , K. , Salarian , Sh. (1999). On the associated primes of local cohomology modules. Comm. Algebra 27:6191–6198.
   Web of Science ®Google Scholar
• Khashyarmanesh , K. , Salarian , Sh. ( 2001 ). Asymptotic stability of . Proc. Edinb. Math. Soc. 44 : 479 – 483 .
   Web of Science ®Google Scholar
• Lyubeznik , G. ( 1993 ). Finiteness properties of local cohomology modules (an application of D-modules to commutative algebra) . Invent. Math. 113 : 41 – 55 .
   Web of Science ®Google Scholar
• Melkersson , L. , Schenzel , P. ( 1993 ). Asymptotic prime ideals related to derived functors . Proc. Am. Math. Soc. 117 : 935 – 938 .
   Web of Science ®Google Scholar
• Nagel , U. , Schenzel , P. ( 1994 ). Cohomological annihilators and Castelnuovo-Mumford regularity. In: Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra. Contemp. Math. Vol. 159. Providence, RI: Amer. Math. Soc., pp. 307–328 .
   Google Scholar
• Nhan , L. T. ( 2005 ). On generalized regular sequences and the finiteness for associated primes of local cohomology modules . Comm. Algebra 33 : 793 – 806 .
   Web of Science ®Google Scholar
• Quy , P. H. ( 2010 ). On the finiteness of associated primes of local cohomology modules . Proc. Amer. Math. Soc. 138 : 1965 – 1968 .
   Web of Science ®Google Scholar
• Singh , A. K. ( 2000 ). p-torsion elements in local cohomology modules . Math. Res. Lett. 7 : 165 – 176 .
   Web of Science ®Google Scholar
• Singh , A. K. , Walther , U. ( 2011 ). Bockstein homomorphisms in local cohomology . J. Reine Angew. Math. 655 : 147 – 164 .
   Web of Science ®Google Scholar
• Communicated by U. Walther.
   Google Scholar
• Dedicated to Professor Nguyen Tu Cuong on the occasion of his sixtieth birthday.
   Google Scholar