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Some properties of generalized local homology and cohomology modules

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We study some properties of representable generalized local homology modules. By duality, we get some properties of good generalized local cohomology modules.

Abstract

We study some properties of representable generalized local homology modules. By duality, we get some properties of good generalized local cohomology modules.

참고문헌 (13)

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  2. M. P. Brodmann, "Local Cohomology: An Algebraic Introduction with Geometric Applications" (1998), Cambridge University Press
  3. N. T. Cuong, "The I-adic completion and local homology for Artinian modules", Math. Proc. Cambridge Philos. Soc, 131(1), pp.61~72 (2001)
  4. N. T. Cuong, "A local homology theory for linearly compact modules", J. Algebra, 319(11), pp.4712~4737 (2008)
  5. J. Herzog, Komplexe, "Auflosungen und dualit¨at in der localen Algebra" (1970), Habilitation-schrift Univ. Regensburg
  6. K. Khashyarmanesh, "A new version of local-global principle for annihilations of local cohomology modules", Colloq. Math, 100(2), pp.213~219 (2004)
  7. I. G. Macdonald, "Secondary representation of modules over a commutative ring", Sym- posia Mathematica, pp.23~43 (1973)
  8. T. T. Nam, "Generalized local homology for artinian modules", Algebra Colloquium
  9. T. T. Nam, "Generalized local homology", Proceedings of the 4th Japan-Vietnam Joint Sem- inar, Meiji University, pp.217~235 (2009)
  10. T. T. Nam, "A finiteness result for co-associated and associated primes of generalized local homology and cohomology modules", Comm. Algebra, 37(5), pp.1748~1757 (2009)
  11. T. T. Nam, "On the non-vanishing and the artinianness of generalized local cohomology modules", Journal of Algebra and Its Applications
  12. S. Rezaei, "Some results on local homology and local cohomology modules", Illinois Journal of Mathematics
  13. S. Yassemi, "Coassociated primes", Comm. Algebra, 23(4), pp.1473~1498 (1995)

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